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156060216 = 233313149373
BaseRepresentation
bin10010100110101…
…00101000111000
3101212122200101000
421103110220320
5304422411331
623252525000
73603330024
oct1123245070
9355580330
10156060216
1180101394
1244320760
1326441430
1416a25384
15da7a0e6
hex94d4a38

156060216 has 128 divisors (see below), whose sum is σ = 471240000. Its totient is φ = 47568384.

The previous prime is 156060209. The next prime is 156060217. The reversal of 156060216 is 612060651.

It is a happy number.

156060216 is a `hidden beast` number, since 1 + 56 + 0 + 602 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 156060216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156060217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418206 + ... + 418578.

Almost surely, 2156060216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156060216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235620000).

156060216 is an abundant number, since it is smaller than the sum of its proper divisors (315179784).

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

156060216 is a wasteful number, since it uses less digits than its factorization.

156060216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 156060216 is about 12492.4063334491. The cubic root of 156060216 is about 538.3905163009.

It can be divided in two parts, 1560 and 60216, that added together give a triangular number (61776 = T351).

The spelling of 156060216 in words is "one hundred fifty-six million, sixty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 149 156 216 234 298 312 351 373 447 468 596 702 746 894 936 1119 1192 1341 1404 1492 1788 1937 2238 2682 2808 2984 3357 3576 3874 4023 4476 4849 5364 5811 6714 7748 8046 8952 9698 10071 10728 11622 13428 14547 15496 16092 17433 19396 20142 23244 26856 29094 32184 34866 38792 40284 43641 46488 52299 55577 58188 69732 80568 87282 104598 111154 116376 130923 139464 166731 174564 209196 222308 261846 333462 349128 418392 444616 500193 523692 666924 722501 1000386 1047384 1333848 1445002 1500579 2000772 2167503 2890004 3001158 4001544 4335006 5780008 6002316 6502509 8670012 12004632 13005018 17340024 19507527 26010036 39015054 52020072 78030108 156060216