Search a number
-
+
1375284680 = 2357111014421
BaseRepresentation
bin101000111111001…
…0010110111001000
310112211211200220122
41101332102313020
510304033102210
6344245042412
746036504220
oct12176226710
93484750818
101375284680
11646348810
123246b6408
1318bc07023
14d091b080
1580b11b55
hex51f92dc8

1375284680 has 128 divisors (see below), whose sum is σ = 3897020160. Its totient is φ = 424320000.

The previous prime is 1375284671. The next prime is 1375284727. The reversal of 1375284680 is 864825731.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308870 + ... + 313290.

It is an arithmetic number, because the mean of its divisors is an integer number (30445470).

Almost surely, 21375284680 is an apocalyptic number.

1375284680 is a gapful number since it is divisible by the number (10) 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 1375284680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948510080).

1375284680 is an abundant number, since it is smaller than the sum of its proper divisors (2521735480).

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

1375284680 is a wasteful number, since it uses less digits than its factorization.

1375284680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4551 (or 4547 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The square root of 1375284680 is about 37084.8308611486. The cubic root of 1375284680 is about 1112.0667821287.

The spelling of 1375284680 in words is "one billion, three hundred seventy-five million, two hundred eighty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 101 110 140 154 202 220 280 308 385 404 440 505 616 707 770 808 1010 1111 1414 1540 2020 2222 2828 3080 3535 4040 4421 4444 5555 5656 7070 7777 8842 8888 11110 14140 15554 17684 22105 22220 28280 30947 31108 35368 38885 44210 44440 48631 61894 62216 77770 88420 97262 123788 154735 155540 176840 194524 243155 247576 309470 311080 340417 389048 446521 486310 618940 680834 893042 972620 1237880 1361668 1702085 1786084 1945240 2232605 2723336 3125647 3404170 3572168 4465210 4911731 6251294 6808340 8930420 9823462 12502588 13616680 15628235 17860840 19646924 24558655 25005176 31256470 34382117 39293848 49117310 62512940 68764234 98234620 125025880 137528468 171910585 196469240 275056936 343821170 687642340 1375284680