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97612290 = 2345373257
BaseRepresentation
bin1011101000101…
…11001000000010
320210200012220000
411310113020002
5144442043130
613404100430
72263455636
oct564271002
9223605800
1097612290
1150110616
1228834716
13172b8a69
14cd6cdc6
158882260
hex5d17202

97612290 has 80 divisors (see below), whose sum is σ = 269645112. Its totient is φ = 25318656.

The previous prime is 97612241. The next prime is 97612301. The reversal of 97612290 is 9221679.

It can be written as a sum of positive squares in 4 ways, for example, as 97476129 + 136161 = 9873^2 + 369^2 .

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 28342 + ... + 31598.

Almost surely, 297612290 is an apocalyptic number.

97612290 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 97612290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134822556).

97612290 is an abundant number, since it is smaller than the sum of its proper divisors (172032822).

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

97612290 is a wasteful number, since it uses less digits than its factorization.

97612290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3313 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 97612290 is about 9879.8932180464. The cubic root of 97612290 is about 460.4348282820.

The spelling of 97612290 in words is "ninety-seven million, six hundred twelve thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 81 90 111 135 162 185 222 270 333 370 405 555 666 810 999 1110 1665 1998 2997 3257 3330 4995 5994 6514 9771 9990 14985 16285 19542 29313 29970 32570 48855 58626 87939 97710 120509 146565 175878 241018 263817 293130 361527 439695 527634 602545 723054 879390 1084581 1205090 1319085 1807635 2169162 2638170 3253743 3615270 5422905 6507486 9761229 10845810 16268715 19522458 32537430 48806145 97612290