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674982540 = 2232529191677
BaseRepresentation
bin101000001110110…
…110101010001100
31202001002122222100
4220032312222030
52340243420130
6150551115100
722504154061
oct5016665214
91661078870
10674982540
11317012411
1216a072a90
13a9ac026b
1465904c68
153e3cec60
hex283b6a8c

674982540 has 144 divisors (see below), whose sum is σ = 2132282880. Its totient is φ = 172623360.

The previous prime is 674982493. The next prime is 674982563. The reversal of 674982540 is 45289476.

It is a happy number.

674982540 is a `hidden beast` number, since 67 + 49 + 8 + 2 + 540 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 996682 + ... + 997358.

It is an arithmetic number, because the mean of its divisors is an integer number (14807520).

Almost surely, 2674982540 is an apocalyptic number.

674982540 is a gapful number since it is divisible by the number (60) 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 674982540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066141440).

674982540 is an abundant number, since it is smaller than the sum of its proper divisors (1457300340).

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

674982540 is a wasteful number, since it uses less digits than its factorization.

674982540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 674982540 is about 25980.4260935035. The cubic root of 674982540 is about 877.1977579394.

The spelling of 674982540 in words is "six hundred seventy-four million, nine hundred eighty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 191 261 290 348 382 435 522 573 580 677 764 870 955 1044 1146 1305 1354 1719 1740 1910 2031 2292 2610 2708 2865 3385 3438 3820 4062 5220 5539 5730 6093 6770 6876 8124 8595 10155 11078 11460 12186 13540 16617 17190 19633 20310 22156 24372 27695 30465 33234 34380 39266 40620 49851 55390 58899 60930 66468 78532 83085 98165 99702 110780 117798 121860 129307 166170 176697 196330 199404 235596 249255 258614 294495 332340 353394 387921 392660 498510 517228 588990 646535 706788 775842 883485 997020 1163763 1177980 1293070 1551684 1766970 1939605 2327526 2586140 3533940 3749903 3879210 4655052 5818815 7499806 7758420 11249709 11637630 14999612 18749515 22499418 23275260 33749127 37499030 44998836 56248545 67498254 74998060 112497090 134996508 168745635 224994180 337491270 674982540