Search a number
-
+
97300872 = 23334110987
BaseRepresentation
bin1011100110010…
…11000110001000
320210002101201000
411303023012020
5144402111442
613353255000
72261021004
oct563130610
9223071630
1097300872
114aa18649
1228704460
131720a0a6
14cccb704
15881ed4c
hex5ccb188

97300872 has 64 divisors (see below), whose sum is σ = 276897600. Its totient is φ = 31639680.

The previous prime is 97300871. The next prime is 97300901. The reversal of 97300872 is 27800379.

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 (97300871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3363 + ... + 14349.

It is an arithmetic number, because the mean of its divisors is an integer number (4326525).

Almost surely, 297300872 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 97300872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138448800).

97300872 is an abundant number, since it is smaller than the sum of its proper divisors (179596728).

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

97300872 is a wasteful number, since it uses less digits than its factorization.

97300872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11043 (or 11033 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 97300872 is about 9864.1204372209. The cubic root of 97300872 is about 459.9446562277.

The spelling of 97300872 in words is "ninety-seven million, three hundred thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 328 369 492 738 984 1107 1476 2214 2952 4428 8856 10987 21974 32961 43948 65922 87896 98883 131844 197766 263688 296649 395532 450467 593298 791064 900934 1186596 1351401 1801868 2373192 2702802 3603736 4054203 5405604 8108406 10811208 12162609 16216812 24325218 32433624 48650436 97300872