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3690516780 = 22325671032971
BaseRepresentation
bin1101101111111000…
…1101000100101100
3100112012100200021200
43123332031010230
530024233014110
61410112325500
7160311606066
oct33376150454
910465320250
103690516780
111624222975
1286bb43890
1346a783352
142701d2736
15168ee16c0
hexdbf8d12c

3690516780 has 144 divisors (see below), whose sum is σ = 11475819264. Its totient is φ = 959713920.

The previous prime is 3690516779. The next prime is 3690516787. The reversal of 3690516780 is 876150963.

It is a happy number.

3690516780 is a `hidden beast` number, since 3 + 69 + 0 + 516 + 78 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3690516787) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1240695 + ... + 1243665.

Almost surely, 23690516780 is an apocalyptic number.

3690516780 is a gapful number since it is divisible by the number (30) 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 3690516780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5737909632).

3690516780 is an abundant number, since it is smaller than the sum of its proper divisors (7785302484).

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

3690516780 is a wasteful number, since it uses less digits than its factorization.

3690516780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3156 (or 3151 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 3690516780 is about 60749.6237025383. The cubic root of 3690516780 is about 1545.3578459135.

The spelling of 3690516780 in words is "three billion, six hundred ninety million, five hundred sixteen thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 103 134 180 201 206 268 309 335 402 412 515 603 618 670 804 927 1005 1030 1206 1236 1340 1545 1854 2010 2060 2412 2971 3015 3090 3708 4020 4635 5942 6030 6180 6901 8913 9270 11884 12060 13802 14855 17826 18540 20703 26739 27604 29710 34505 35652 41406 44565 53478 59420 62109 69010 82812 89130 103515 106956 124218 133695 138020 178260 199057 207030 248436 267390 306013 310545 398114 414060 534780 597171 612026 621090 796228 918039 995285 1194342 1224052 1242180 1530065 1791513 1836078 1990570 2388684 2754117 2985855 3060130 3583026 3672156 3981140 4590195 5508234 5971710 6120260 7166052 8957565 9180390 11016468 11943420 13770585 17915130 18360780 20502871 27541170 35830260 41005742 55082340 61508613 82011484 102514355 123017226 184525839 205028710 246034452 307543065 369051678 410057420 615086130 738103356 922629195 1230172260 1845258390 3690516780