Search a number
-
+
1372008260 = 225771831663
BaseRepresentation
bin101000111000111…
…0010111101000100
310112121200020111202
41101301302331010
510302213231020
6344050522032
745666610040
oct12161627504
93477606452
101372008260
11644510127
12323596318
1318b32a90c
14d0307020
15806b5e75
hex51c72f44

1372008260 has 96 divisors (see below), whose sum is σ = 3381460992. Its totient is φ = 457914240.

The previous prime is 1372008251. The next prime is 1372008263. The reversal of 1372008260 is 628002731.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1372008263) 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, 824189 + ... + 825851.

It is an arithmetic number, because the mean of its divisors is an integer number (35223552).

Almost surely, 21372008260 is an apocalyptic number.

1372008260 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 1372008260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690730496).

1372008260 is an abundant number, since it is smaller than the sum of its proper divisors (2009452732).

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

1372008260 is a wasteful number, since it uses less digits than its factorization.

1372008260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 1372008260 is about 37040.6298542560. The cubic root of 1372008260 is about 1111.1829662938.

The spelling of 1372008260 in words is "one billion, three hundred seventy-two million, eight thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 71 83 140 142 166 284 332 355 415 497 581 710 830 994 1162 1420 1660 1663 1988 2324 2485 2905 3326 4970 5810 5893 6652 8315 9940 11620 11641 11786 16630 23282 23572 29465 33260 41251 46564 58205 58930 82502 116410 117860 118073 138029 165004 206255 232820 236146 276058 412510 472292 552116 590365 690145 825020 826511 966203 1180730 1380290 1653022 1932406 2361460 2760580 3306044 3864812 4132555 4831015 8265110 9662030 9800059 16530220 19324060 19600118 39200236 49000295 68600413 98000590 137200826 196001180 274401652 343002065 686004130 1372008260