Search a number
-
+
1369872100 = 225215787253
BaseRepresentation
bin101000110100110…
…1001011011100100
310112110122201020201
41101221221123210
510301141401400
6343533040244
745642502132
oct12151513344
93473581221
101369872100
11643291203
12322926084
1318aa6050c
14cdd0c752
15803e306a
hex51a696e4

1369872100 has 36 divisors (see below), whose sum is σ = 2991590644. Its totient is φ = 544452480.

The previous prime is 1369871999. The next prime is 1369872107. The reversal of 1369872100 is 12789631.

It can be written as a sum of positive squares in 6 ways, for example, as 244672164 + 1125199936 = 15642^2 + 33544^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1369872100.

It is not an unprimeable number, because it can be changed into a prime (1369872107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27927 + ... + 59326.

Almost surely, 21369872100 is an apocalyptic number.

1369872100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1369872100 is an abundant number, since it is smaller than the sum of its proper divisors (1621718544).

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

1369872100 is a wasteful number, since it uses less digits than its factorization.

1369872100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87424 (or 87417 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 1369872100 is about 37011.7832588488. The cubic root of 1369872100 is about 1110.6059781321.

The spelling of 1369872100 in words is "one billion, three hundred sixty-nine million, eight hundred seventy-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 314 628 785 1570 3140 3925 7850 15700 87253 174506 349012 436265 872530 1745060 2181325 4362650 8725300 13698721 27397442 54794884 68493605 136987210 273974420 342468025 684936050 1369872100