Search a number
-
+
1372920354 = 235131911437
BaseRepresentation
bin101000111010101…
…0001101000100010
310112200101120200000
41101311101220202
510302431422404
6344122240430
746010426151
oct12165215042
93480346600
101372920354
11644a83423
12323956116
1318b589b10
14d04a3598
15807e6339
hex51d51a22

1372920354 has 96 divisors (see below), whose sum is σ = 3497282880. Its totient is φ = 400168512.

The previous prime is 1372920331. The next prime is 1372920377. The reversal of 1372920354 is 4530292731.

1372920354 is a `hidden beast` number, since 13 + 7 + 292 + 0 + 354 = 666.

It is an interprime number because it is at equal distance from previous prime (1372920331) and next prime (1372920377).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114324 + ... + 125760.

It is an arithmetic number, because the mean of its divisors is an integer number (36430030).

Almost surely, 21372920354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1372920354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748641440).

1372920354 is an abundant number, since it is smaller than the sum of its proper divisors (2124362526).

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

1372920354 is a wasteful number, since it uses less digits than its factorization.

1372920354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11486 (or 11474 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 1372920354 is about 37052.9398833615. The cubic root of 1372920354 is about 1111.4291452809.

The spelling of 1372920354 in words is "one billion, three hundred seventy-two million, nine hundred twenty thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 81 114 117 162 171 234 243 247 342 351 486 494 513 702 741 1026 1053 1482 1539 2106 2223 3078 3159 4446 4617 6318 6669 9234 11437 13338 20007 22874 34311 40014 60021 68622 102933 120042 148681 205866 217303 297362 308799 434606 446043 617598 651909 892086 926397 1303818 1338129 1852794 1955727 2676258 2779191 2824939 3911454 4014387 5558382 5649878 5867181 8028774 8474817 11734362 12043161 16949634 17601543 24086322 25424451 35203086 36129483 50848902 52804629 72258966 76273353 105609258 152546706 228820059 457640118 686460177 1372920354