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23070096 = 243472543
BaseRepresentation
bin101100000000…
…0010110010000
31121102002020000
41120000112100
521401220341
62142250000
7400043520
oct130002620
947362200
1023070096
11120279a5
127886900
134a1995a
1430c7680
15205a8b6
hex1600590

23070096 has 100 divisors (see below), whose sum is σ = 76340352. Its totient is φ = 6588864.

The previous prime is 23070083. The next prime is 23070143. The reversal of 23070096 is 69007032.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7801 + ... + 10343.

Almost surely, 223070096 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 23070096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38170176).

23070096 is an abundant number, since it is smaller than the sum of its proper divisors (53270256).

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

23070096 is a wasteful number, since it uses less digits than its factorization.

23070096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570 (or 2555 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 23070096 is about 4803.1339768947. The cubic root of 23070096 is about 284.6753089010.

The spelling of 23070096 in words is "twenty-three million, seventy thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 2543 3024 4536 5086 7629 9072 10172 15258 17801 20344 22887 30516 35602 40688 45774 53403 61032 68661 71204 91548 106806 122064 137322 142408 160209 183096 205983 213612 274644 284816 320418 366192 411966 427224 480627 549288 640836 823932 854448 961254 1098576 1281672 1441881 1647864 1922508 2563344 2883762 3295728 3845016 5767524 7690032 11535048 23070096