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535099680 = 253253111987
BaseRepresentation
bin11111111001001…
…111100100100000
31101021212212202200
4133321033210200
52043441142210
6125033013200
716155162243
oct3771174440
91337785680
10535099680
11255060345
1212b254200
1386b2433b
14510d125a
1531e9d0c0
hex1fe4f920

535099680 has 144 divisors (see below), whose sum is σ = 1885089024. Its totient is φ = 138078720.

The previous prime is 535099637. The next prime is 535099681. The reversal of 535099680 is 86990535.

535099680 is a `hidden beast` number, since 53 + 509 + 96 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×5350996802 = 572663335072204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (535099681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38647 + ... + 50633.

It is an arithmetic number, because the mean of its divisors is an integer number (13090896).

Almost surely, 2535099680 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 535099680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942544512).

535099680 is an abundant number, since it is smaller than the sum of its proper divisors (1349989344).

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

535099680 is a wasteful number, since it uses less digits than its factorization.

535099680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12039 (or 12028 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 535099680 is about 23132.2216831847. The cubic root of 535099680 is about 811.8545526410.

The spelling of 535099680 in words is "five hundred thirty-five million, ninety-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 45 48 60 62 72 80 90 93 96 120 124 144 155 160 180 186 240 248 279 288 310 360 372 465 480 496 558 620 720 744 930 992 1116 1240 1395 1440 1488 1860 2232 2480 2790 2976 3720 4464 4960 5580 7440 8928 11160 11987 14880 22320 23974 35961 44640 47948 59935 71922 95896 107883 119870 143844 179805 191792 215766 239740 287688 359610 371597 383584 431532 479480 539415 575376 719220 743194 863064 958960 1078830 1114791 1150752 1438440 1486388 1726128 1857985 1917920 2157660 2229582 2876880 2972776 3344373 3452256 3715970 4315320 4459164 5573955 5753760 5945552 6688746 7431940 8630640 8918328 11147910 11891104 13377492 14863880 16721865 17261280 17836656 22295820 26754984 29727760 33443730 35673312 44591640 53509968 59455520 66887460 89183280 107019936 133774920 178366560 267549840 535099680