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676516140 = 2232537157647
BaseRepresentation
bin101000010100101…
…101000100101100
31202010222120200100
4220110231010230
52341142004030
6151044031100
722523202156
oct5024550454
91663876610
10676516140
1131796a653
1216a692490
13aa209311
1465bc3ad6
153e5d4360
hex2852d12c

676516140 has 144 divisors (see below), whose sum is σ = 2124263232. Its totient is φ = 174140928.

The previous prime is 676516111. The next prime is 676516153. The reversal of 676516140 is 41615676.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 676516095 and 676516104.

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, 1045297 + ... + 1045943.

It is an arithmetic number, because the mean of its divisors is an integer number (14751828).

Almost surely, 2676516140 is an apocalyptic number.

676516140 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 676516140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062131616).

676516140 is an abundant number, since it is smaller than the sum of its proper divisors (1447747092).

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

676516140 is a wasteful number, since it uses less digits than its factorization.

676516140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 676516140 is about 26009.9238753211. The cubic root of 676516140 is about 877.8616037139.

It can be divided in two parts, 6765161 and 40, that added together give a 4-th power (6765201 = 514).

The spelling of 676516140 in words is "six hundred seventy-six million, five hundred sixteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 157 180 185 222 314 333 370 444 471 555 628 647 666 740 785 942 1110 1294 1332 1413 1570 1665 1884 1941 2220 2355 2588 2826 3140 3235 3330 3882 4710 5652 5809 5823 6470 6660 7065 7764 9420 9705 11618 11646 12940 14130 17427 19410 23236 23292 23939 28260 29045 29115 34854 38820 47878 52281 58090 58230 69708 71817 87135 95756 101579 104562 116180 116460 119695 143634 174270 203158 209124 215451 239390 261405 287268 304737 348540 359085 406316 430902 478780 507895 522810 609474 718170 861804 914211 1015790 1045620 1077255 1218948 1436340 1523685 1828422 2031580 2154510 3047370 3656844 3758423 4309020 4571055 6094740 7516846 9142110 11275269 15033692 18284220 18792115 22550538 33825807 37584230 45101076 56376345 67651614 75168460 112752690 135303228 169129035 225505380 338258070 676516140