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85867520 = 210531541
BaseRepresentation
bin1010001111000…
…11110000000000
312222120112002112
411013203300000
5133440230040
612304234452
72061601424
oct507436000
9188515075
1085867520
11445195a2
122490ba28
1314a35cab
14b592b84
157812365
hex51e3c00

85867520 has 88 divisors (see below), whose sum is σ = 213019008. Its totient is φ = 33177600.

The previous prime is 85867511. The next prime is 85867531. The reversal of 85867520 is 2576858.

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, 158450 + ... + 158990.

Almost surely, 285867520 is an apocalyptic number.

85867520 is a gapful number since it is divisible by the number (80) 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 85867520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106509504).

85867520 is an abundant number, since it is smaller than the sum of its proper divisors (127151488).

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

85867520 is a wasteful number, since it uses less digits than its factorization.

85867520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 41.

The square root of 85867520 is about 9266.4728996528. The cubic root of 85867520 is about 441.1737257380.

The spelling of 85867520 in words is "eighty-five million, eight hundred sixty-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 256 310 320 496 512 541 620 640 992 1024 1082 1240 1280 1984 2164 2480 2560 2705 3968 4328 4960 5120 5410 7936 8656 9920 10820 15872 16771 17312 19840 21640 31744 33542 34624 39680 43280 67084 69248 79360 83855 86560 134168 138496 158720 167710 173120 268336 276992 335420 346240 536672 553984 670840 692480 1073344 1341680 1384960 2146688 2683360 2769920 4293376 5366720 8586752 10733440 17173504 21466880 42933760 85867520