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106402624 = 262957329
BaseRepresentation
bin1100101011110…
…01001101000000
321102012210221221
412111321031000
5204214340444
614320324424
72431256506
oct625711500
9242183857
10106402624
1155074959
122b773714
1319075b43
14101ba676
15951ba84
hex6579340

106402624 has 28 divisors (see below), whose sum is σ = 218427300. Its totient is φ = 51365888.

The previous prime is 106402613. The next prime is 106402631. The reversal of 106402624 is 426204601.

It can be written as a sum of positive squares in 2 ways, for example, as 24681024 + 81721600 = 4968^2 + 9040^2 .

It is a super-2 number, since 2×1064026242 = 22643036788170752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26809 + ... + 30520.

It is an arithmetic number, because the mean of its divisors is an integer number (7800975).

Almost surely, 2106402624 is an apocalyptic number.

It is an amenable number.

106402624 is an abundant number, since it is smaller than the sum of its proper divisors (112024676).

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

106402624 is an equidigital number, since it uses as much as digits as its factorization.

106402624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57370 (or 57360 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 106402624 is about 10315.1647587423. The cubic root of 106402624 is about 473.8607957643.

The spelling of 106402624 in words is "one hundred six million, four hundred two thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1856 57329 114658 229316 458632 917264 1662541 1834528 3325082 3669056 6650164 13300328 26600656 53201312 106402624