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427037520 = 243571319553
BaseRepresentation
bin11001011101000…
…001001101010000
31002202112202100110
4121131001031100
51333310200040
6110212521320
713403521230
oct3135011520
91082482313
10427037520
111aa062678
12bb020240
136a61a030
1440a01cc0
1527754980
hex19741350

427037520 has 160 divisors (see below), whose sum is σ = 1629395712. Its totient is φ = 90095616.

The previous prime is 427037497. The next prime is 427037539. The reversal of 427037520 is 25730724.

It is a super-2 number, since 2×4270375202 = 364722086975500800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12064 + ... + 31616.

Almost surely, 2427037520 is an apocalyptic number.

427037520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427037520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814697856).

427037520 is an abundant number, since it is smaller than the sum of its proper divisors (1202358192).

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

427037520 is a wasteful number, since it uses less digits than its factorization.

427037520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19589 (or 19583 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 427037520 is about 20664.8861598606. The cubic root of 427037520 is about 753.0468764082.

The spelling of 427037520 in words is "four hundred twenty-seven million, thirty-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 52 56 60 65 70 78 80 84 91 104 105 112 120 130 140 156 168 182 195 208 210 240 260 273 280 312 336 364 390 420 455 520 546 560 624 728 780 840 910 1040 1092 1365 1456 1560 1680 1820 2184 2730 3120 3640 4368 5460 7280 10920 19553 21840 39106 58659 78212 97765 117318 136871 156424 195530 234636 254189 273742 293295 312848 391060 410613 469272 508378 547484 586590 684355 762567 782120 821226 938544 1016756 1094968 1173180 1270945 1368710 1525134 1564240 1642452 1779323 2033512 2053065 2189936 2346360 2541890 2737420 3050268 3284904 3558646 3812835 4067024 4106130 4692720 5083780 5337969 5474840 6100536 6569808 7117292 7625670 8212260 8896615 10167560 10675938 10949680 12201072 14234584 15251340 16424520 17793230 20335120 21351876 26689845 28469168 30502680 32849040 35586460 42703752 53379690 61005360 71172920 85407504 106759380 142345840 213518760 427037520