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157640560 = 245711157163
BaseRepresentation
bin10010110010101…
…10011101110000
3101222121222012021
421121112131300
5310323444220
623350441224
73622631320
oct1131263560
9358558167
10157640560
1180a90760
1244963214
132687584c
1416d17280
15dc8d4aa
hex9656770

157640560 has 160 divisors (see below), whose sum is σ = 462684672. Its totient is φ = 48522240.

The previous prime is 157640543. The next prime is 157640579. The reversal of 157640560 is 65046751.

It is a happy number.

157640560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1576405602 = 49701092314227200, which contains 22 as substring.

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, 967039 + ... + 967201.

Almost surely, 2157640560 is an apocalyptic number.

157640560 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 157640560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231342336).

157640560 is an abundant number, since it is smaller than the sum of its proper divisors (305044112).

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

157640560 is a wasteful number, since it uses less digits than its factorization.

157640560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 157640560 is about 12555.4991935805. The cubic root of 157640560 is about 540.2017536014.

The spelling of 157640560 in words is "one hundred fifty-seven million, six hundred forty thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 157 163 176 220 280 308 314 326 385 440 560 616 628 652 770 785 815 880 1099 1141 1232 1256 1304 1540 1570 1630 1727 1793 2198 2282 2512 2608 3080 3140 3260 3454 3586 4396 4564 5495 5705 6160 6280 6520 6908 7172 8635 8792 8965 9128 10990 11410 12089 12551 12560 13040 13816 14344 17270 17584 17930 18256 21980 22820 24178 25102 25591 27632 28688 34540 35860 43960 45640 48356 50204 51182 60445 62755 69080 71720 87920 91280 96712 100408 102364 120890 125510 127955 138160 143440 179137 193424 200816 204728 241780 251020 255910 281501 358274 409456 483560 502040 511820 563002 716548 895685 967120 1004080 1023640 1126004 1407505 1433096 1791370 1970507 2047280 2252008 2815010 2866192 3582740 3941014 4504016 5630020 7165480 7882028 9852535 11260040 14330960 15764056 19705070 22520080 31528112 39410140 78820280 157640560