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536872920 = 233517892957
BaseRepresentation
bin100000000000000…
…000011111011000
31101102012222012020
4200000000133120
52044414413140
6125135014440
716206226113
oct4000003730
91342188166
10536872920
11256061631
1212b96a420
13872c54ac
145143357a
15321ed6d0
hex200007d8

536872920 has 128 divisors (see below), whose sum is σ = 1725105600. Its totient is φ = 133185536.

The previous prime is 536872913. The next prime is 536872927. The reversal of 536872920 is 29278635.

It is an interprime number because it is at equal distance from previous prime (536872913) and next prime (536872927).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536872927) 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, 180082 + ... + 183038.

Almost surely, 2536872920 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 536872920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862552800).

536872920 is an abundant number, since it is smaller than the sum of its proper divisors (1188232680).

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

536872920 is a wasteful number, since it uses less digits than its factorization.

536872920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3077 (or 3073 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 536872920 is about 23170.5183368866. The cubic root of 536872920 is about 812.7503518858.

The spelling of 536872920 in words is "five hundred thirty-six million, eight hundred seventy-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 89 102 120 136 170 178 204 255 267 340 356 408 445 510 534 680 712 890 1020 1068 1335 1513 1780 2040 2136 2670 2957 3026 3560 4539 5340 5914 6052 7565 8871 9078 10680 11828 12104 14785 15130 17742 18156 22695 23656 29570 30260 35484 36312 44355 45390 50269 59140 60520 70968 88710 90780 100538 118280 150807 177420 181560 201076 251345 263173 301614 354840 402152 502690 526346 603228 754035 789519 1005380 1052692 1206456 1315865 1508070 1579038 2010760 2105384 2631730 3016140 3158076 3947595 4473941 5263460 6032280 6316152 7895190 8947882 10526920 13421823 15790380 17895764 22369705 26843646 31580760 35791528 44739410 53687292 67109115 89478820 107374584 134218230 178957640 268436460 536872920