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3693062940 = 2235710385369
BaseRepresentation
bin1101110000011111…
…1010101100011100
3100112101011000221220
43130013322230130
530030411003230
61410243053340
7160342342230
oct33407725434
910471130856
103693062940
111625701936
12870971250
1346b165258
142706965c0
15169345d10
hexdc1fab1c

3693062940 has 96 divisors (see below), whose sum is σ = 11932677120. Its totient is φ = 835923456.

The previous prime is 3693062939. The next prime is 3693062957. The reversal of 3693062940 is 492603963.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3693062892 and 3693062901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 576 + ... + 85944.

It is an arithmetic number, because the mean of its divisors is an integer number (124298720).

Almost surely, 23693062940 is an apocalyptic number.

3693062940 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 3693062940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5966338560).

3693062940 is an abundant number, since it is smaller than the sum of its proper divisors (8239614180).

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

3693062940 is a wasteful number, since it uses less digits than its factorization.

3693062940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85491 (or 85489 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 42.

The square root of 3693062940 is about 60770.5762684541. The cubic root of 3693062940 is about 1545.7131551229.

The spelling of 3693062940 in words is "three billion, six hundred ninety-three million, sixty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 103 105 140 206 210 309 412 420 515 618 721 1030 1236 1442 1545 2060 2163 2884 3090 3605 4326 6180 7210 8652 10815 14420 21630 43260 85369 170738 256107 341476 426845 512214 597583 853690 1024428 1195166 1280535 1707380 1792749 2390332 2561070 2987915 3585498 5122140 5975830 7170996 8793007 8963745 11951660 17586014 17927490 26379021 35172028 35854980 43965035 52758042 61551049 87930070 105516084 123102098 131895105 175860140 184653147 246204196 263790210 307755245 369306294 527580420 615510490 738612588 923265735 1231020980 1846531470 3693062940