Search a number
-
+
1325315520 = 2634551131
BaseRepresentation
bin100111011111110…
…1011010111000000
310102100211000010000
41032333223113000
510203240044040
6335302040000
744561665434
oct11677532700
93370730100
101325315520
11620119191
1230ba19000
1318175c989
14c80309c4
157b541130
hex4efeb5c0

1325315520 has 140 divisors (see below), whose sum is σ = 4714472664. Its totient is φ = 353410560.

The previous prime is 1325315449. The next prime is 1325315533. The reversal of 1325315520 is 255135231.

It is a happy number.

1325315520 is a `hidden beast` number, since 1 + 325 + 315 + 5 + 20 = 666.

It is a super-2 number, since 2×13253155202 = 3512922455105740800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 355 + ... + 51485.

Almost surely, 21325315520 is an apocalyptic number.

1325315520 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 1325315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357236332).

1325315520 is an abundant number, since it is smaller than the sum of its proper divisors (3389157144).

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

1325315520 is an equidigital number, since it uses as much as digits as its factorization.

1325315520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51160 (or 51141 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 1325315520 is about 36404.8831889350. The cubic root of 1325315520 is about 1098.4317929075.

The spelling of 1325315520 in words is "one billion, three hundred twenty-five million, three hundred fifteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 25920 51131 102262 153393 204524 255655 306786 409048 460179 511310 613572 766965 818096 920358 1022620 1227144 1380537 1533930 1636192 1840716 2045240 2300895 2454288 2761074 3067860 3272384 3681432 4090480 4141611 4601790 4908576 5522148 6135720 6902685 7362864 8180960 8283222 9203580 9817152 11044296 12271440 13805370 14725728 16361920 16566444 18407160 20708055 22088592 24542880 27610740 29451456 33132888 36814320 41416110 44177184 49085760 55221480 66265776 73628640 82832220 88354368 110442960 132531552 147257280 165664440 220885920 265063104 331328880 441771840 662657760 1325315520