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97150032 = 24327313109
BaseRepresentation
bin1011100101001…
…10010001010000
320202210201210100
411302212101100
5144332300112
613350132400
72256522150
oct562462120
9222721710
1097150032
114a925291
1228651100
1317186535
14cc8c760
1587e02dc
hex5ca6450

97150032 has 120 divisors (see below), whose sum is σ = 320852480. Its totient is φ = 26853120.

The previous prime is 97149991. The next prime is 97150051. The reversal of 97150032 is 23005179.

It is a junction number, because it is equal to n+sod(n) for n = 97149978 and 97150005.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 29694 + ... + 32802.

Almost surely, 297150032 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 97150032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160426240).

97150032 is an abundant number, since it is smaller than the sum of its proper divisors (223702448).

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

97150032 is a wasteful number, since it uses less digits than its factorization.

97150032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3161 (or 3152 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 97150032 is about 9856.4715796273. The cubic root of 97150032 is about 459.7068579689.

The spelling of 97150032 in words is "ninety-seven million, one hundred fifty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 36 42 48 56 62 63 72 84 93 112 124 126 144 168 186 217 248 252 279 336 372 434 496 504 558 651 744 868 1008 1116 1302 1488 1736 1953 2232 2604 3109 3472 3906 4464 5208 6218 7812 9327 10416 12436 15624 18654 21763 24872 27981 31248 37308 43526 49744 55962 65289 74616 87052 96379 111924 130578 149232 174104 192758 195867 223848 261156 289137 348208 385516 391734 447696 522312 578274 674653 771032 783468 867411 1044624 1156548 1349306 1542064 1566936 1734822 2023959 2313096 2698612 3133872 3469644 4047918 4626192 5397224 6071877 6939288 8095836 10794448 12143754 13878576 16191672 24287508 32383344 48575016 97150032