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1376815890 = 2351729127733
BaseRepresentation
bin101001000010000…
…1000101100010010
310112221201111100010
41102010020230102
510304431102030
6344341535350
746055512332
oct12204105422
93487644303
101376815890
116471a417a
12325114556
1318c321c78
14d0bd90c2
1580d156b0
hex52108b12

1376815890 has 128 divisors (see below), whose sum is σ = 3652853760. Its totient is φ = 330559488.

The previous prime is 1376815877. The next prime is 1376815931. The reversal of 1376815890 is 985186731.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1877964 + ... + 1878696.

It is an arithmetic number, because the mean of its divisors is an integer number (28537920).

Almost surely, 21376815890 is an apocalyptic number.

1376815890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1376815890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826426880).

1376815890 is an abundant number, since it is smaller than the sum of its proper divisors (2276037870).

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

1376815890 is a wasteful number, since it uses less digits than its factorization.

1376815890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916.

The product of its (nonzero) digits is 362880, while the sum is 48.

The square root of 1376815890 is about 37105.4698124144. The cubic root of 1376815890 is about 1112.4793454904.

The spelling of 1376815890 in words is "one billion, three hundred seventy-six million, eight hundred fifteen thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 29 30 34 51 58 85 87 102 127 145 170 174 254 255 290 381 435 493 510 635 733 762 870 986 1270 1466 1479 1905 2159 2199 2465 2958 3665 3683 3810 4318 4398 4930 6477 7330 7366 7395 10795 10995 11049 12461 12954 14790 18415 21257 21590 21990 22098 24922 32385 36830 37383 42514 55245 62305 62611 63771 64770 74766 93091 106285 110490 124610 125222 127542 186182 186915 187833 212570 279273 313055 318855 361369 373830 375666 465455 558546 626110 637710 722738 930910 939165 1084107 1396365 1582547 1806845 1878330 2168214 2699639 2792730 3165094 3613690 4747641 5399278 5420535 7912735 8098917 9495282 10841070 13498195 15825470 16197834 23738205 26996390 40494585 45893863 47476410 80989170 91787726 137681589 229469315 275363178 458938630 688407945 1376815890