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672629320 = 235112314483
BaseRepresentation
bin101000000101111…
…000001001001000
31201212200002222001
4220011320021020
52334143114240
6150424440344
722445153266
oct5005701110
91655602861
10672629320
11315755400
121693190b4
13a947811c
1465491436
153e0b789a
hex28178248

672629320 has 96 divisors (see below), whose sum is σ = 1717551360. Its totient is φ = 236649600.

The previous prime is 672629257. The next prime is 672629329. The reversal of 672629320 is 23926276.

It is a self number, because there is not a number n which added to its sum of digits gives 672629320.

It is not an unprimeable number, because it can be changed into a prime (672629329) 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, 147799 + ... + 152281.

It is an arithmetic number, because the mean of its divisors is an integer number (17891160).

Almost surely, 2672629320 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 672629320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858775680).

672629320 is an abundant number, since it is smaller than the sum of its proper divisors (1044922040).

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

672629320 is a wasteful number, since it uses less digits than its factorization.

672629320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4547 (or 4532 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 672629320 is about 25935.0982261491. The cubic root of 672629320 is about 876.1771671715.

It can be divided in two parts, 6726 and 29320, that added together give a triangular number (36046 = T268).

The spelling of 672629320 in words is "six hundred seventy-two million, six hundred twenty-nine thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 121 124 155 220 242 248 310 341 440 484 605 620 682 968 1210 1240 1364 1705 2420 2728 3410 3751 4483 4840 6820 7502 8966 13640 15004 17932 18755 22415 30008 35864 37510 44830 49313 75020 89660 98626 138973 150040 179320 197252 246565 277946 394504 493130 542443 555892 694865 986260 1084886 1111784 1389730 1528703 1972520 2169772 2712215 2779460 3057406 4339544 5424430 5558920 6114812 7643515 10848860 12229624 15287030 16815733 21697720 30574060 33631466 61148120 67262932 84078665 134525864 168157330 336314660 672629320