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538705920 = 21835137
BaseRepresentation
bin100000000111000…
…000000000000000
31101112200002121010
4200013000000000
52100402042140
6125242200520
716230632124
oct4007000000
91345602533
10538705920
112570a3805
121304b3140
13877b78cc
145178d584
1532461880
hex201c0000

538705920 has 152 divisors (see below), whose sum is σ = 1736438544. Its totient is φ = 142606336.

The previous prime is 538705901. The next prime is 538705949. The reversal of 538705920 is 29507835.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3932092 + ... + 3932228.

Almost surely, 2538705920 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 538705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868219272).

538705920 is an abundant number, since it is smaller than the sum of its proper divisors (1197732624).

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

538705920 is an frugal number, since it uses more digits than its factorization.

538705920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 538705920 is about 23210.0392072051. The cubic root of 538705920 is about 813.6742695587.

The spelling of 538705920 in words is "five hundred thirty-eight million, seven hundred five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 137 160 192 240 256 274 320 384 411 480 512 548 640 685 768 822 960 1024 1096 1280 1370 1536 1644 1920 2048 2055 2192 2560 2740 3072 3288 3840 4096 4110 4384 5120 5480 6144 6576 7680 8192 8220 8768 10240 10960 12288 13152 15360 16384 16440 17536 20480 21920 24576 26304 30720 32768 32880 35072 40960 43840 49152 52608 61440 65536 65760 70144 81920 87680 98304 105216 122880 131072 131520 140288 163840 175360 196608 210432 245760 262144 263040 280576 327680 350720 393216 420864 491520 526080 561152 655360 701440 786432 841728 983040 1052160 1122304 1310720 1402880 1683456 1966080 2104320 2244608 2805760 3366912 3932160 4208640 4489216 5611520 6733824 8417280 8978432 11223040 13467648 16834560 17956864 22446080 26935296 33669120 35913728 44892160 53870592 67338240 89784320 107741184 134676480 179568640 269352960 538705920