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683006976 = 21032372003
BaseRepresentation
bin101000101101011…
…101110000000000
31202121012100102200
4220231131300000
52344322210401
6151435113200
722632314661
oct5055356000
91677170380
10683006976
113205a3283
121708a2800
13ab66c852
14669d3368
153ee67686
hex28b5dc00

683006976 has 132 divisors (see below), whose sum is σ = 2026480872. Its totient is φ = 221405184.

The previous prime is 683006963. The next prime is 683006981. The reversal of 683006976 is 679600386.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 339991 + ... + 341993.

Almost surely, 2683006976 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 683006976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013240436).

683006976 is an abundant number, since it is smaller than the sum of its proper divisors (1343473896).

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

683006976 is a wasteful number, since it uses less digits than its factorization.

683006976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 683006976 is about 26134.4021550140. The cubic root of 683006976 is about 880.6602207983.

The spelling of 683006976 in words is "six hundred eighty-three million, six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 256 288 296 333 384 444 512 576 592 666 768 888 1024 1152 1184 1332 1536 1776 2003 2304 2368 2664 3072 3552 4006 4608 4736 5328 6009 7104 8012 9216 9472 10656 12018 14208 16024 18027 18944 21312 24036 28416 32048 36054 37888 42624 48072 56832 64096 72108 74111 85248 96144 113664 128192 144216 148222 170496 192288 222333 256384 288432 296444 340992 384576 444666 512768 576864 592888 666999 769152 889332 1025536 1153728 1185776 1333998 1538304 1778664 2051072 2307456 2371552 2667996 3076608 3557328 4614912 4743104 5335992 6153216 7114656 9229824 9486208 10671984 14229312 18459648 18972416 21343968 28458624 37944832 42687936 56917248 75889664 85375872 113834496 170751744 227668992 341503488 683006976