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59906420 = 2257261129
BaseRepresentation
bin1110010010000…
…1100101110100
311011201120011022
43210201211310
5110314001140
65540000312
71325124200
oct344414564
9134646138
1059906420
11308a7642
1218090098
13c5464b2
147d55b00
1553d50b5
hex3921974

59906420 has 36 divisors (see below), whose sum is σ = 146345220. Its totient is φ = 20539008.

The previous prime is 59906393. The next prime is 59906423. The reversal of 59906420 is 2460995.

It can be written as a sum of positive squares in 2 ways, for example, as 11102224 + 48804196 = 3332^2 + 6986^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59906423) 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, 29585 + ... + 31544.

It is an arithmetic number, because the mean of its divisors is an integer number (4065145).

Almost surely, 259906420 is an apocalyptic number.

It is an amenable number.

59906420 is an abundant number, since it is smaller than the sum of its proper divisors (86438800).

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

59906420 is a wasteful number, since it uses less digits than its factorization.

59906420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61152 (or 61143 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 59906420 is about 7739.9237722345. The cubic root of 59906420 is about 391.2831285935.

The spelling of 59906420 in words is "fifty-nine million, nine hundred six thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 61129 122258 244516 305645 427903 611290 855806 1222580 1711612 2139515 2995321 4279030 5990642 8558060 11981284 14976605 29953210 59906420