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23970496 = 261179431
BaseRepresentation
bin101101101110…
…0001011000000
31200002211100011
41123130023000
522114023441
62213434304
7410513554
oct133341300
950084304
1023970496
1112592430
12803b994
134c73734
14327d864
152187581
hex16dc2c0

23970496 has 56 divisors (see below), whose sum is σ = 52669440. Its totient is φ = 10732800.

The previous prime is 23970491. The next prime is 23970503. The reversal of 23970496 is 69407932.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23970491) 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 7 ways as a sum of consecutive naturals, for example, 55401 + ... + 55831.

Almost surely, 223970496 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 23970496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26334720).

23970496 is an abundant number, since it is smaller than the sum of its proper divisors (28698944).

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

23970496 is a wasteful number, since it uses less digits than its factorization.

23970496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The square root of 23970496 is about 4895.9673201524. The cubic root of 23970496 is about 288.3316652277.

The spelling of 23970496 in words is "twenty-three million, nine hundred seventy thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 79 88 158 176 316 352 431 632 704 862 869 1264 1724 1738 2528 3448 3476 4741 5056 6896 6952 9482 13792 13904 18964 27584 27808 34049 37928 55616 68098 75856 136196 151712 272392 303424 374539 544784 749078 1089568 1498156 2179136 2996312 5992624 11985248 23970496