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27150156 = 2232111737109
BaseRepresentation
bin110011110010…
…0011101001100
31220002101000100
41213210131030
523422301111
62405531100
7446525655
oct147443514
956071010
1027150156
1114364350
129113a90
135817aa7
14386a52c
1525b4756
hex19e474c

27150156 has 144 divisors (see below), whose sum is σ = 82162080. Its totient is φ = 7464960.

The previous prime is 27150103. The next prime is 27150163. The reversal of 27150156 is 65105172.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 249030 + ... + 249138.

It is an arithmetic number, because the mean of its divisors is an integer number (570570).

Almost surely, 227150156 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 27150156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41081040).

27150156 is an abundant number, since it is smaller than the sum of its proper divisors (55011924).

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

27150156 is a wasteful number, since it uses less digits than its factorization.

27150156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 27150156 is about 5210.5811576061. The cubic root of 27150156 is about 300.5551055592. Note that the first 3 decimals are identical.

The spelling of 27150156 in words is "twenty-seven million, one hundred fifty thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 37 44 51 66 68 74 99 102 109 111 132 148 153 187 198 204 218 222 306 327 333 374 396 407 436 444 561 612 629 654 666 748 814 981 1122 1199 1221 1258 1308 1332 1628 1683 1853 1887 1962 2244 2398 2442 2516 3366 3597 3663 3706 3774 3924 4033 4796 4884 5559 5661 6732 6919 7194 7326 7412 7548 8066 10791 11118 11322 12099 13838 14388 14652 16132 16677 20383 20757 21582 22236 22644 24198 27676 33354 36297 40766 41514 43164 44363 48396 61149 62271 66708 68561 72594 81532 83028 88726 122298 124542 133089 137122 145188 177452 183447 205683 244596 249084 266178 274244 366894 399267 411366 532356 617049 733788 754171 798534 822732 1234098 1508342 1597068 2262513 2468196 3016684 4525026 6787539 9050052 13575078 27150156