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23401400 = 2352112967
BaseRepresentation
bin101100101000…
…1001110111000
31122000220200112
41121101032320
521442321100
62153323452
7402623441
oct131211670
948026615
1023401400
1112233900
127a06588
134b046a9
1431722c8
1520c3b35
hex16513b8

23401400 has 72 divisors (see below), whose sum is σ = 59865960. Its totient is φ = 8500800.

The previous prime is 23401379. The next prime is 23401451. The reversal of 23401400 is 410432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23717 + ... + 24683.

Almost surely, 223401400 is an apocalyptic number.

23401400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29932980).

23401400 is an abundant number, since it is smaller than the sum of its proper divisors (36464560).

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

23401400 is a wasteful number, since it uses less digits than its factorization.

23401400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 23401400 is about 4837.4993540051. The cubic root of 23401400 is about 286.0315547038.

Adding to 23401400 its reverse (410432), we get a palindrome (23811832).

The spelling of 23401400 in words is "twenty-three million, four hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 967 968 1100 1210 1934 2200 2420 3025 3868 4835 4840 6050 7736 9670 10637 12100 19340 21274 24175 24200 38680 42548 48350 53185 85096 96700 106370 117007 193400 212740 234014 265925 425480 468028 531850 585035 936056 1063700 1170070 2127400 2340140 2925175 4680280 5850350 11700700 23401400