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5360085600 = 253522397103
BaseRepresentation
bin1001111110111110…
…00110101001100000
3111211112221120010220
410333133012221200
541434140214400
62243513123040
7246553655502
oct47737065140
914745846126
105360085600
1123006a0711
1210570b9480
136756365ac
1438bc35d72
152158837a0
hex13f7c6a60

5360085600 has 144 divisors (see below), whose sum is σ = 18205834752. Its totient is φ = 1367196160.

The previous prime is 5360085589. The next prime is 5360085617. The reversal of 5360085600 is 65800635.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6649 + ... + 103751.

It is an arithmetic number, because the mean of its divisors is an integer number (126429408).

Almost surely, 25360085600 is an apocalyptic number.

5360085600 is a gapful number since it is divisible by the number (50) 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 5360085600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9102917376).

5360085600 is an abundant number, since it is smaller than the sum of its proper divisors (12845749152).

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

5360085600 is a wasteful number, since it uses less digits than its factorization.

5360085600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97149 (or 97136 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 5360085600 is about 73212.6054720087. The cubic root of 5360085600 is about 1750.0773407996.

The spelling of 5360085600 in words is "five billion, three hundred sixty million, eighty-five thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 32 40 46 48 50 60 69 75 80 92 96 100 115 120 138 150 160 184 200 230 240 276 300 345 368 400 460 480 552 575 600 690 736 800 920 1104 1150 1200 1380 1725 1840 2208 2300 2400 2760 3450 3680 4600 5520 6900 9200 11040 13800 18400 27600 55200 97103 194206 291309 388412 485515 582618 776824 971030 1165236 1456545 1553648 1942060 2233369 2330472 2427575 2913090 3107296 3884120 4466738 4660944 4855150 5826180 6700107 7282725 7768240 8933476 9321888 9710300 11166845 11652360 13400214 14565450 15536480 17866952 19420600 22333690 23304720 26800428 29130900 33500535 35733904 38841200 44667380 46609440 53600856 55834225 58261800 67001070 71467808 77682400 89334760 107201712 111668450 116523600 134002140 167502675 178669520 214403424 223336900 233047200 268004280 335005350 357339040 446673800 536008560 670010700 893347600 1072017120 1340021400 1786695200 2680042800 5360085600