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23429120 = 21551113
BaseRepresentation
bin101100101100…
…0000000000000
31122002022201012
41121120000000
521444212440
62154100052
7403100321
oct131300000
948068635
1023429120
1112252710
127a1a628
134b141b0
14317c448
1520cbe65
hex1658000

23429120 has 128 divisors (see below), whose sum is σ = 66059280. Its totient is φ = 7864320.

The previous prime is 23429117. The next prime is 23429137. The reversal of 23429120 is 2192432.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1802234 + ... + 1802246.

Almost surely, 223429120 is an apocalyptic number.

23429120 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 23429120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33029640).

23429120 is an abundant number, since it is smaller than the sum of its proper divisors (42630160).

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

23429120 is an equidigital number, since it uses as much as digits as its factorization.

23429120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 23429120 is about 4840.3636227044. The cubic root of 23429120 is about 286.1444491757.

The spelling of 23429120 in words is "twenty-three million, four hundred twenty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 128 130 143 160 176 208 220 256 260 286 320 352 416 440 512 520 572 640 704 715 832 880 1024 1040 1144 1280 1408 1430 1664 1760 2048 2080 2288 2560 2816 2860 3328 3520 4096 4160 4576 5120 5632 5720 6656 7040 8192 8320 9152 10240 11264 11440 13312 14080 16384 16640 18304 20480 22528 22880 26624 28160 32768 33280 36608 40960 45056 45760 53248 56320 66560 73216 81920 90112 91520 106496 112640 133120 146432 163840 180224 183040 212992 225280 266240 292864 360448 366080 425984 450560 532480 585728 732160 901120 1064960 1171456 1464320 1802240 2129920 2342912 2928640 4685824 5857280 11714560 23429120