Search a number
-
+
674498720 = 25572227379
BaseRepresentation
bin101000001101000…
…000100010100000
31202000012002022002
4220031000202200
52340132424340
6150532503132
722500100400
oct5015004240
91660162262
10674498720
11316811965
12169a7aaa8
13a9980c8c
146581a800
153e336715
hex283408a0

674498720 has 144 divisors (see below), whose sum is σ = 1866745440. Its totient is φ = 229630464.

The previous prime is 674498717. The next prime is 674498743. The reversal of 674498720 is 27894476.

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, 1779491 + ... + 1779869.

It is an arithmetic number, because the mean of its divisors is an integer number (12963510).

Almost surely, 2674498720 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 674498720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933372720).

674498720 is an abundant number, since it is smaller than the sum of its proper divisors (1192246720).

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

674498720 is a wasteful number, since it uses less digits than its factorization.

674498720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 47.

The square root of 674498720 is about 25971.1131836893. The cubic root of 674498720 is about 876.9881193006.

The spelling of 674498720 in words is "six hundred seventy-four million, four hundred ninety-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 227 245 280 379 392 454 490 560 758 784 908 980 1120 1135 1516 1568 1589 1816 1895 1960 2270 2653 3032 3178 3632 3790 3920 4540 5306 6064 6356 7264 7580 7840 7945 9080 10612 11123 12128 12712 13265 15160 15890 18160 18571 21224 22246 25424 26530 30320 31780 36320 37142 42448 44492 50848 53060 55615 60640 63560 74284 84896 86033 88984 92855 106120 111230 127120 148568 172066 177968 185710 212240 222460 254240 297136 344132 355936 371420 424480 430165 444920 594272 602231 688264 742840 860330 889840 1204462 1376528 1485680 1720660 1779680 2408924 2753056 2971360 3011155 3441320 4215617 4817848 6022310 6882640 8431234 9635696 12044620 13765280 16862468 19271392 21078085 24089240 33724936 42156170 48178480 67449872 84312340 96356960 134899744 168624680 337249360 674498720