Search a number
-
+
1372708692 = 223253977417
BaseRepresentation
bin101000111010001…
…1101111101010100
310112122222211022200
41101310131331110
510302403134232
6344113524500
746005555105
oct12164357524
93478884280
101372708692
116449493a3
12323873730
1318b514684
14d044a3ac
15807a377c
hex51d1df54

1372708692 has 72 divisors (see below), whose sum is σ = 3572301096. Its totient is φ = 444248064.

The previous prime is 1372708657. The next prime is 1372708693. The reversal of 1372708692 is 2968072731.

It can be written as a sum of positive squares in 4 ways, for example, as 505170576 + 867538116 = 22476^2 + 29454^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1372708693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181368 + ... + 188784.

It is an arithmetic number, because the mean of its divisors is an integer number (49615293).

Almost surely, 21372708692 is an apocalyptic number.

1372708692 is a gapful number since it is divisible by the number (12) 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 1372708692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786150548).

1372708692 is an abundant number, since it is smaller than the sum of its proper divisors (2199592404).

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

1372708692 is a wasteful number, since it uses less digits than its factorization.

1372708692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7577 (or 7572 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 1372708692 is about 37050.0835626588. The cubic root of 1372708692 is about 1111.3720263069.

The spelling of 1372708692 in words is "one billion, three hundred seventy-two million, seven hundred eight thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 97 106 159 194 212 291 318 388 477 582 636 873 954 1164 1746 1908 3492 5141 7417 10282 14834 15423 20564 22251 29668 30846 44502 46269 61692 66753 89004 92538 133506 185076 267012 393101 719449 786202 1179303 1438898 1572404 2158347 2358606 2877796 3537909 4316694 4717212 6475041 7075818 8633388 12950082 14151636 25900164 38130797 76261594 114392391 152523188 228784782 343177173 457569564 686354346 1372708692