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474376140 = 223257383983
BaseRepresentation
bin11100010001100…
…110011111001100
31020001121210201200
4130101212133030
51432420014030
6115023305500
714520062550
oct3421463714
91201553650
10474376140
112238558a7
12112a4b290
1377382c54
1447005860
152b9a5d60
hex1c4667cc

474376140 has 144 divisors (see below), whose sum is σ = 1650475008. Its totient is φ = 108035712.

The previous prime is 474376103. The next prime is 474376153. The reversal of 474376140 is 41673474.

It is a happy number.

474376140 is a `hidden beast` number, since 4 + 7 + 4 + 37 + 614 + 0 = 666.

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 = 474376095 and 474376104.

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, 482089 + ... + 483071.

It is an arithmetic number, because the mean of its divisors is an integer number (11461632).

Almost surely, 2474376140 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 474376140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825237504).

474376140 is an abundant number, since it is smaller than the sum of its proper divisors (1176098868).

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

474376140 is a wasteful number, since it uses less digits than its factorization.

474376140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 474376140 is about 21780.1776852256. The cubic root of 474376140 is about 779.9036370108.

The spelling of 474376140 in words is "four hundred seventy-four million, three hundred seventy-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 383 420 630 766 983 1149 1260 1532 1915 1966 2298 2681 2949 3447 3830 3932 4596 4915 5362 5745 5898 6881 6894 7660 8043 8847 9830 10724 11490 11796 13405 13762 13788 14745 16086 17235 17694 19660 20643 22980 24129 26810 27524 29490 32172 34405 34470 35388 40215 41286 44235 48258 53620 58980 61929 68810 68940 80430 82572 88470 96516 103215 120645 123858 137620 160860 176940 206430 241290 247716 309645 376489 412860 482580 619290 752978 1129467 1238580 1505956 1882445 2258934 2635423 3388401 3764890 4517868 5270846 5647335 6776802 7529780 7906269 10541692 11294670 13177115 13553604 15812538 16942005 22589340 23718807 26354230 31625076 33884010 39531345 47437614 52708460 67768020 79062690 94875228 118594035 158125380 237188070 474376140