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1376918136 = 2333114313477
BaseRepresentation
bin101001000010010…
…0001101001111000
310112221220200121000
41102010201221320
510304442340021
6344344045000
746056416406
oct12204415170
93487820530
101376918136
11647263a80
12325163760
1318c359679
14d0c24476
1580d35b26
hex52121a78

1376918136 has 128 divisors (see below), whose sum is σ = 4269830400. Its totient is φ = 407514240.

The previous prime is 1376918131. The next prime is 1376918143. The reversal of 1376918136 is 6318196731.

It is a junction number, because it is equal to n+sod(n) for n = 1376918091 and 1376918100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1376918131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95430 + ... + 108906.

It is an arithmetic number, because the mean of its divisors is an integer number (33358050).

Almost surely, 21376918136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1376918136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134915200).

1376918136 is an abundant number, since it is smaller than the sum of its proper divisors (2892912264).

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

1376918136 is a wasteful number, since it uses less digits than its factorization.

1376918136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13546 (or 13536 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 1376918136 is about 37106.8475621414. The cubic root of 1376918136 is about 1112.5068833644.

The spelling of 1376918136 in words is "one billion, three hundred seventy-six million, nine hundred eighteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 43 44 54 66 72 86 88 99 108 129 132 172 198 216 258 264 297 344 387 396 473 516 594 774 792 946 1032 1161 1188 1419 1548 1892 2322 2376 2838 3096 3784 4257 4644 5676 8514 9288 11352 12771 13477 17028 25542 26954 34056 40431 51084 53908 80862 102168 107816 121293 148247 161724 242586 296494 323448 363879 444741 485172 579511 592988 727758 889482 970344 1159022 1185976 1334223 1455516 1738533 1778964 2318044 2668446 2911032 3477066 3557928 4002669 4636088 5215599 5336892 6374621 6954132 8005338 10431198 10673784 12749242 13908264 15646797 16010676 19123863 20862396 25498484 31293594 32021352 38247726 41724792 50996968 57371589 62587188 76495452 114743178 125174376 152990904 172114767 229486356 344229534 458972712 688459068 1376918136