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23970048 = 28323259
BaseRepresentation
bin101101101110…
…0000100000000
31200002210201120
41123130010000
522114020143
62213432240
7410512344
oct133340400
950083646
1023970048
1112592063
12803b680
134c7347b
14327d624
152187383
hex16dc100

23970048 has 108 divisors (see below), whose sum is σ = 67819920. Its totient is φ = 7513088.

The previous prime is 23970041. The next prime is 23970053. The reversal of 23970048 is 84007932.

It is a super-2 number, since 2×239700482 = 1149126402244608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23970041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 406243 + ... + 406301.

Almost surely, 223970048 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 23970048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33909960).

23970048 is an abundant number, since it is smaller than the sum of its proper divisors (43849872).

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

23970048 is an equidigital number, since it uses as much as digits as its factorization.

23970048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 23970048 is about 4895.9215679992. The cubic root of 23970048 is about 288.3298689446.

The spelling of 23970048 in words is "twenty-three million, nine hundred seventy thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 59 64 69 92 96 118 128 138 177 184 192 236 256 276 354 368 384 472 529 552 708 736 768 944 1058 1104 1357 1416 1472 1587 1888 2116 2208 2714 2832 2944 3174 3776 4071 4232 4416 5428 5664 5888 6348 7552 8142 8464 8832 10856 11328 12696 15104 16284 16928 17664 21712 22656 25392 31211 32568 33856 43424 45312 50784 62422 65136 67712 86848 93633 101568 124844 130272 135424 173696 187266 203136 249688 260544 347392 374532 406272 499376 521088 749064 998752 1042176 1498128 1997504 2996256 3995008 5992512 7990016 11985024 23970048