Search a number
-
+
1380147440 = 24574635323
BaseRepresentation
bin101001001000011…
…0110000011110000
310120011222202100212
41102100312003300
510311304204230
6344541203252
746126026320
oct12220660360
93504882325
101380147440
1164906a221
12326260528
1318cc1a4b9
14d1425280
1581272895
hex524360f0

1380147440 has 80 divisors (see below), whose sum is σ = 3675859968. Its totient is φ = 472082688.

The previous prime is 1380147437. The next prime is 1380147443. The reversal of 1380147440 is 447410831.

It is an interprime number because it is at equal distance from previous prime (1380147437) and next prime (1380147443).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×13801474403 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1380147397 and 1380147406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1380147443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256619 + ... + 261941.

Almost surely, 21380147440 is an apocalyptic number.

1380147440 is a gapful number since it is divisible by the number (10) 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 1380147440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837929984).

1380147440 is an abundant number, since it is smaller than the sum of its proper divisors (2295712528).

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

1380147440 is a wasteful number, since it uses less digits than its factorization.

1380147440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5806 (or 5800 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 1380147440 is about 37150.3356647016. The cubic root of 1380147440 is about 1113.3759299402.

The spelling of 1380147440 in words is "one billion, three hundred eighty million, one hundred forty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 463 560 926 1852 2315 3241 3704 4630 5323 6482 7408 9260 10646 12964 16205 18520 21292 25928 26615 32410 37040 37261 42584 51856 53230 64820 74522 85168 106460 129640 149044 186305 212920 259280 298088 372610 425840 596176 745220 1490440 2464549 2980880 4929098 9858196 12322745 17251843 19716392 24645490 34503686 39432784 49290980 69007372 86259215 98581960 138014744 172518430 197163920 276029488 345036860 690073720 1380147440