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13074948 = 22322315791
BaseRepresentation
bin110001111000…
…001000000100
3220121021110100
4301320020010
511321344243
61144124100
7216064245
oct61701004
926537410
1013074948
117420447
124466630
13292a373
141a44ccc
1512340d3
hexc78204

13074948 has 36 divisors (see below), whose sum is σ = 34489728. Its totient is φ = 4168560.

The previous prime is 13074947. The next prime is 13074953. The reversal of 13074948 is 84947031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13074947) 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, 7068 + ... + 8723.

It is an arithmetic number, because the mean of its divisors is an integer number (958048).

Almost surely, 213074948 is an apocalyptic number.

13074948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13074948 is an abundant number, since it is smaller than the sum of its proper divisors (21414780).

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

13074948 is a wasteful number, since it uses less digits than its factorization.

13074948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15824 (or 15819 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 13074948 is about 3615.9297559549. The cubic root of 13074948 is about 235.5844694080.

It can be divided in two parts, 130 and 74948, that added together give a triangular number (75078 = T387).

The spelling of 13074948 in words is "thirteen million, seventy-four thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 15791 31582 47373 63164 94746 142119 189492 284238 363193 568476 726386 1089579 1452772 2179158 3268737 4358316 6537474 13074948