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1293930960 = 243574311787
BaseRepresentation
bin100110100011111…
…1101000111010000
310100011202111120220
41031013331013100
510122221242320
6332221233040
744031142320
oct11507750720
93304674526
101293930960
11604432533
12301402780
131780c172a
14c3bc1280
15788e1e40
hex4d1fd1d0

1293930960 has 160 divisors (see below), whose sum is σ = 4597420032. Its totient is φ = 294904320.

The previous prime is 1293930949. The next prime is 1293930971. The reversal of 1293930960 is 690393921.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1293930949) and next prime (1293930971).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 723187 + ... + 724973.

Almost surely, 21293930960 is an apocalyptic number.

1293930960 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 1293930960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298710016).

1293930960 is an abundant number, since it is smaller than the sum of its proper divisors (3303489072).

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

1293930960 is a wasteful number, since it uses less digits than its factorization.

1293930960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2241 (or 2235 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 42.

The square root of 1293930960 is about 35971.2518547798. The cubic root of 1293930960 is about 1089.6918467905.

The spelling of 1293930960 in words is "one billion, two hundred ninety-three million, nine hundred thirty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 431 560 840 862 1293 1680 1724 1787 2155 2586 3017 3448 3574 4310 5172 5361 6034 6465 6896 7148 8620 8935 9051 10344 10722 12068 12509 12930 14296 15085 17240 17870 18102 20688 21444 24136 25018 25860 26805 28592 30170 34480 35740 36204 37527 42888 45255 48272 50036 51720 53610 60340 62545 71480 72408 75054 85776 90510 100072 103440 107220 120680 125090 142960 144816 150108 181020 187635 200144 214440 241360 250180 300216 362040 375270 428880 500360 600432 724080 750540 770197 1000720 1501080 1540394 2310591 3002160 3080788 3850985 4621182 5391379 6161576 7701970 9242364 10782758 11552955 12323152 15403940 16174137 18484728 21565516 23105910 26956895 30807880 32348274 36969456 43131032 46211820 53913790 61615760 64696548 80870685 86262064 92423640 107827580 129393096 161741370 184847280 215655160 258786192 323482740 431310320 646965480 1293930960