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157118940 = 22355112939
BaseRepresentation
bin10010101110101…
…11000111011100
3101221122110200000
421113113013130
5310210301230
623331334300
73615326466
oct1127270734
9357573600
10157118940
1180764870
1244751390
13267222b4
1416c1d136
15dbd8b60
hex95d71dc

157118940 has 144 divisors (see below), whose sum is σ = 539360640. Its totient is φ = 38076480.

The previous prime is 157118921. The next prime is 157118959. The reversal of 157118940 is 49811751.

157118940 is a `hidden beast` number, since 1 + 571 + 1 + 89 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (157118921) and next prime (157118959).

It is a super-2 number, since 2×1571189402 = 49372722613447200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 157118895 and 157118904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51991 + ... + 54929.

It is an arithmetic number, because the mean of its divisors is an integer number (3745560).

Almost surely, 2157118940 is an apocalyptic number.

157118940 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 157118940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269680320).

157118940 is an abundant number, since it is smaller than the sum of its proper divisors (382241700).

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

157118940 is a wasteful number, since it uses less digits than its factorization.

157118940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2974 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The square root of 157118940 is about 12534.7094102735. The cubic root of 157118940 is about 539.6052670813.

The spelling of 157118940 in words is "one hundred fifty-seven million, one hundred eighteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 243 270 297 324 330 396 405 486 495 540 594 660 810 891 972 990 1188 1215 1485 1620 1782 1980 2430 2673 2939 2970 3564 4455 4860 5346 5878 5940 8817 8910 10692 11756 13365 14695 17634 17820 26451 26730 29390 32329 35268 44085 52902 53460 58780 64658 79353 88170 96987 105804 129316 132255 158706 161645 176340 193974 238059 264510 290961 317412 323290 387948 396765 476118 484935 529020 581922 646580 714177 793530 872883 952236 969870 1163844 1190295 1428354 1454805 1587060 1745766 1939740 2380590 2618649 2856708 2909610 3491532 3570885 4364415 4761180 5237298 5819220 7141770 7855947 8728830 10474596 13093245 14283540 15711894 17457660 26186490 31423788 39279735 52372980 78559470 157118940