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1381270752 = 25331739241
BaseRepresentation
bin101001001010100…
…1000010011100000
310120021002211021000
41102111020103200
510312101131002
6345021232000
746141415301
oct12225102340
93507084230
101381270752
11649767184
12326702600
13190221894
14d16387a8
15813e561c
hex525484e0

1381270752 has 96 divisors (see below), whose sum is σ = 4052432160. Its totient is φ = 457712640.

The previous prime is 1381270747. The next prime is 1381270753. The reversal of 1381270752 is 2570721831.

1381270752 is a `hidden beast` number, since 1 + 381 + 270 + 7 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1381270753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144852 + ... + 154092.

It is an arithmetic number, because the mean of its divisors is an integer number (42212835).

Almost surely, 21381270752 is an apocalyptic number.

1381270752 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 1381270752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026216080).

1381270752 is an abundant number, since it is smaller than the sum of its proper divisors (2671161408).

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

1381270752 is a wasteful number, since it uses less digits than its factorization.

1381270752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9433 (or 9419 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 1381270752 is about 37165.4510533641. The cubic root of 1381270752 is about 1113.6779096056.

The spelling of 1381270752 in words is "one billion, three hundred eighty-one million, two hundred seventy thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 173 216 288 346 432 519 692 864 1038 1384 1557 2076 2768 3114 4152 4671 5536 6228 8304 9241 9342 12456 16608 18482 18684 24912 27723 36964 37368 49824 55446 73928 74736 83169 110892 147856 149472 166338 221784 249507 295712 332676 443568 499014 665352 887136 998028 1330704 1598693 1996056 2661408 3197386 3992112 4796079 6394772 7984224 9592158 12789544 14388237 19184316 25579088 28776474 38368632 43164711 51158176 57552948 76737264 86329422 115105896 153474528 172658844 230211792 345317688 460423584 690635376 1381270752