Search a number
-
+
260403490080 = 253251093165449
BaseRepresentation
bin1111001010000101000…
…0011110110100100000
3220220010222002220120200
43302201100132310200
513231301243140310
6315343330305200
724546020100426
oct3624120366440
9826128086520
10260403490080
11a0488a88338
1242574728200
131b72c540396
14c8643a7116
156b913299c0
hex3ca141ed20

260403490080 has 144 divisors (see below), whose sum is σ = 889445302200. Its totient is φ = 69376978944.

The previous prime is 260403490057. The next prime is 260403490099. The reversal of 260403490080 is 80094304062.

It is a happy number.

260403490080 is a `hidden beast` number, since 2 + 604 + 0 + 3 + 49 + 0 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 228985218576 + 31418271504 = 478524^2 + 177252^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1491196 + ... + 1656644.

Almost surely, 2260403490080 is an apocalyptic number.

260403490080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260403490080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444722651100).

260403490080 is an abundant number, since it is smaller than the sum of its proper divisors (629041812120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

260403490080 is a wasteful number, since it uses less digits than its factorization.

260403490080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166563 (or 166552 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 260403490080 in words is "two hundred sixty billion, four hundred three million, four hundred ninety thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1093 1440 2186 3279 4372 5465 6558 8744 9837 10930 13116 16395 17488 19674 21860 26232 32790 34976 39348 43720 49185 52464 65580 78696 87440 98370 104928 131160 157392 165449 174880 196740 262320 314784 330898 393480 496347 524640 661796 786960 827245 992694 1323592 1489041 1573920 1654490 1985388 2481735 2647184 2978082 3308980 3970776 4963470 5294368 5956164 6617960 7445205 7941552 9926940 11912328 13235920 14890410 15883104 19853880 23824656 26471840 29780820 39707760 47649312 59561640 79415520 119123280 180835757 238246560 361671514 542507271 723343028 904178785 1085014542 1446686056 1627521813 1808357570 2170029084 2712536355 2893372112 3255043626 3616715140 4340058168 5425072710 5786744224 6510087252 7233430280 8137609065 8680116336 10850145420 13020174504 14466860560 16275218130 17360232672 21700290840 26040349008 28933721120 32550436260 43400581680 52080698016 65100872520 86801163360 130201745040 260403490080