Search a number
-
+
97009080 = 23357532179
BaseRepresentation
bin1011100100000…
…11110110111000
320202112120102220
411302003312320
5144313242310
613343124040
72255364210
oct562036670
9222476386
1097009080
114a8393a3
12285a3620
131713732c
14cc53240
1587b3670
hex5c83db8

97009080 has 128 divisors (see below), whose sum is σ = 339033600. Its totient is φ = 21745152.

The previous prime is 97009069. The next prime is 97009103. The reversal of 97009080 is 8090079.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43431 + ... + 45609.

It is an arithmetic number, because the mean of its divisors is an integer number (2648700).

Almost surely, 297009080 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 97009080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169516800).

97009080 is an abundant number, since it is smaller than the sum of its proper divisors (242024520).

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

97009080 is a wasteful number, since it uses less digits than its factorization.

97009080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 97009080 is about 9849.3187581680. The cubic root of 97009080 is about 459.4844255033.

The spelling of 97009080 in words is "ninety-seven million, nine thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 53 56 60 70 84 105 106 120 140 159 168 210 212 265 280 318 371 420 424 530 636 742 795 840 1060 1113 1272 1484 1590 1855 2120 2179 2226 2968 3180 3710 4358 4452 5565 6360 6537 7420 8716 8904 10895 11130 13074 14840 15253 17432 21790 22260 26148 30506 32685 43580 44520 45759 52296 61012 65370 76265 87160 91518 115487 122024 130740 152530 183036 228795 230974 261480 305060 346461 366072 457590 461948 577435 610120 692922 808409 915180 923896 1154870 1385844 1616818 1732305 1830360 2309740 2425227 2771688 3233636 3464610 4042045 4619480 4850454 6467272 6929220 8084090 9700908 12126135 13858440 16168180 19401816 24252270 32336360 48504540 97009080