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97260264 = 233817109
BaseRepresentation
bin1011100110000…
…01001011101000
320210000100000000
411303001023220
5144344312024
613352343000
72260461423
oct563011350
9223010000
1097260264
114a9a0092
12286a4a60
13171c476a
14ccba9ba
158812cc9
hex5cc12e8

97260264 has 144 divisors (see below), whose sum is σ = 292277700. Its totient is φ = 30233088.

The previous prime is 97260263. The next prime is 97260269. The reversal of 97260264 is 46206279.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 91355364 + 5904900 = 9558^2 + 2430^2 .

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

It is not an unprimeable number, because it can be changed into a prime (97260263) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 892242 + ... + 892350.

Almost surely, 297260264 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 97260264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146138850).

97260264 is an abundant number, since it is smaller than the sum of its proper divisors (195017436).

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

97260264 is a wasteful number, since it uses less digits than its factorization.

97260264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 97260264 is about 9862.0618533854. The cubic root of 97260264 is about 459.8806621746.

The spelling of 97260264 in words is "ninety-seven million, two hundred sixty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 109 136 153 162 204 216 218 243 306 324 327 408 436 459 486 612 648 654 729 872 918 972 981 1224 1308 1377 1458 1836 1853 1944 1962 2187 2616 2754 2916 2943 3672 3706 3924 4131 4374 5508 5559 5832 5886 6561 7412 7848 8262 8748 8829 11016 11118 11772 12393 13122 14824 16524 16677 17496 17658 22236 23544 24786 26244 26487 33048 33354 35316 37179 44472 49572 50031 52488 52974 66708 70632 74358 79461 99144 100062 105948 111537 133416 148716 150093 158922 200124 211896 223074 238383 297432 300186 317844 400248 446148 450279 476766 600372 635688 715149 892296 900558 953532 1200744 1350837 1430298 1801116 1907064 2701674 2860596 3602232 4052511 5403348 5721192 8105022 10806696 12157533 16210044 24315066 32420088 48630132 97260264