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23970440 = 23513311487
BaseRepresentation
bin101101101110…
…0001010001000
31200002211021002
41123130022020
522114023230
62213434132
7410513444
oct133341210
950084232
1023970440
111259238a
12803b948
134c736c0
14327d824
152187545
hex16dc288

23970440 has 64 divisors (see below), whose sum is σ = 59996160. Its totient is φ = 8559360.

The previous prime is 23970437. The next prime is 23970449. The reversal of 23970440 is 4407932.

It is not an unprimeable number, because it can be changed into a prime (23970449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15377 + ... + 16863.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 223970440 is an apocalyptic number.

23970440 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 23970440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29998080).

23970440 is an abundant number, since it is smaller than the sum of its proper divisors (36025720).

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

23970440 is a wasteful number, since it uses less digits than its factorization.

23970440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 23970440 is about 4895.9616011566. The cubic root of 23970440 is about 288.3314406935.

The spelling of 23970440 in words is "twenty-three million, nine hundred seventy thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 248 260 310 403 520 620 806 1240 1487 1612 2015 2974 3224 4030 5948 7435 8060 11896 14870 16120 19331 29740 38662 46097 59480 77324 92194 96655 154648 184388 193310 230485 368776 386620 460970 599261 773240 921940 1198522 1843880 2397044 2996305 4794088 5992610 11985220 23970440