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97305156 = 2232131931353
BaseRepresentation
bin1011100110011…
…00001001000100
320210002121120200
411303030021010
5144402231111
613353330500
72261036334
oct563141104
9223077520
1097305156
114aa20893
1228706a30
131720c020
14cccd0c4
158821256
hex5ccc244

97305156 has 144 divisors (see below), whose sum is σ = 288637440. Its totient is φ = 27371520.

The previous prime is 97305151. The next prime is 97305163. The reversal of 97305156 is 65150379.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 97305156.

It is not an unprimeable number, because it can be changed into a prime (97305151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275476 + ... + 275828.

Almost surely, 297305156 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 97305156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144318720).

97305156 is an abundant number, since it is smaller than the sum of its proper divisors (191332284).

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

97305156 is a wasteful number, since it uses less digits than its factorization.

97305156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 97305156 is about 9864.3375854641. The cubic root of 97305156 is about 459.9514063350.

It can be divided in two parts, 97305 and 156, that added together give a triangular number (97461 = T441).

The spelling of 97305156 in words is "ninety-seven million, three hundred five thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 31 36 38 39 52 57 62 76 78 93 114 117 124 156 171 186 228 234 247 279 342 353 372 403 468 494 558 589 684 706 741 806 988 1059 1116 1178 1209 1412 1482 1612 1767 2118 2223 2356 2418 2964 3177 3534 3627 4236 4446 4589 4836 5301 6354 6707 7068 7254 7657 8892 9178 10602 10943 12708 13414 13767 14508 15314 18356 20121 21204 21886 22971 26828 27534 30628 32829 40242 41301 43772 45942 55068 60363 65658 68913 80484 82602 87191 91884 98487 120726 131316 137826 142259 165204 174382 196974 207917 241452 261573 275652 284518 348764 393948 415834 426777 523146 569036 623751 784719 831668 853554 1046292 1247502 1280331 1569438 1707108 1871253 2495004 2560662 2702921 3138876 3742506 5121324 5405842 7485012 8108763 10811684 16217526 24326289 32435052 48652578 97305156