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524164020 = 2235192319991
BaseRepresentation
bin11111001111100…
…001101110110100
31100112022021212020
4133033201232310
52033141222040
6124002353140
715663214662
oct3717415664
91315267766
10524164020
11249971206
1212765b7b0
1384795933
144d885c32
153103ccd0
hex1f3e1bb4

524164020 has 96 divisors (see below), whose sum is σ = 1612154880. Its totient is φ = 126656640.

The previous prime is 524164019. The next prime is 524164021. The reversal of 524164020 is 20461425.

It is an interprime number because it is at equal distance from previous prime (524164019) and next prime (524164021).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (524164021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16225 + ... + 36215.

It is an arithmetic number, because the mean of its divisors is an integer number (16793280).

Almost surely, 2524164020 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 524164020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806077440).

524164020 is an abundant number, since it is smaller than the sum of its proper divisors (1087990860).

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

524164020 is a wasteful number, since it uses less digits than its factorization.

524164020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20045 (or 20043 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 524164020 is about 22894.6286276934. The cubic root of 524164020 is about 806.2859069400.

The spelling of 524164020 in words is "five hundred twenty-four million, one hundred sixty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 23 30 38 46 57 60 69 76 92 95 114 115 138 190 228 230 276 285 345 380 437 460 570 690 874 1140 1311 1380 1748 2185 2622 4370 5244 6555 8740 13110 19991 26220 39982 59973 79964 99955 119946 199910 239892 299865 379829 399820 459793 599730 759658 919586 1139487 1199460 1379379 1519316 1839172 1899145 2278974 2298965 2758758 3798290 4557948 4597930 5517516 5697435 6896895 7596580 8736067 9195860 11394870 13793790 17472134 22789740 26208201 27587580 34944268 43680335 52416402 87360670 104832804 131041005 174721340 262082010 524164020