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1215306820 = 225721395393
BaseRepresentation
bin100100001110000…
…0001110001000100
310010200210222112201
41020130001301010
54442104304240
6320332124244
742054636400
oct11034016104
93120728481
101215306820
11574011002
1229b006684
13164a23680
14b7596100
1571a60d9a
hex48701c44

1215306820 has 72 divisors (see below), whose sum is σ = 3197225304. Its totient is φ = 384620544.

The previous prime is 1215306811. The next prime is 1215306877. The reversal of 1215306820 is 286035121.

It can be written as a sum of positive squares in 4 ways, for example, as 224820036 + 990486784 = 14994^2 + 31472^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34957 + ... + 60436.

It is an arithmetic number, because the mean of its divisors is an integer number (44405907).

Almost surely, 21215306820 is an apocalyptic number.

1215306820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1215306820 is an abundant number, since it is smaller than the sum of its proper divisors (1981918484).

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

1215306820 is a wasteful number, since it uses less digits than its factorization.

1215306820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95429 (or 95420 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 1215306820 is about 34861.2509815698. The cubic root of 1215306820 is about 1067.1578048576.

The spelling of 1215306820 in words is "one billion, two hundred fifteen million, three hundred six thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 910 980 1274 1820 2548 3185 6370 12740 95393 190786 381572 476965 667751 953930 1240109 1335502 1907860 2480218 2671004 3338755 4674257 4960436 6200545 6677510 8680763 9348514 12401090 13355020 17361526 18697028 23371285 24802180 34723052 43403815 46742570 60765341 86807630 93485140 121530682 173615260 243061364 303826705 607653410 1215306820