Search a number
-
+
1358969376 = 25319799431
BaseRepresentation
bin101000100000000…
…0011101000100000
310111201010210112010
41101000003220200
510240344010001
6342503232520
745451022562
oct12100035040
93451123463
101358969376
11638114896
1231b148740
13188713abb
14cc6b1332
157e48c8d6
hex51003a20

1358969376 has 96 divisors (see below), whose sum is σ = 3802982400. Its totient is φ = 423671040.

The previous prime is 1358969317. The next prime is 1358969389. The reversal of 1358969376 is 6739698531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139381 + ... + 148811.

It is an arithmetic number, because the mean of its divisors is an integer number (39614400).

Almost surely, 21358969376 is an apocalyptic number.

1358969376 is a gapful number since it is divisible by the number (16) 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 1358969376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901491200).

1358969376 is an abundant number, since it is smaller than the sum of its proper divisors (2444013024).

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

1358969376 is a wasteful number, since it uses less digits than its factorization.

1358969376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9542 (or 9534 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 57.

The square root of 1358969376 is about 36864.2018223642. The cubic root of 1358969376 is about 1107.6517127454.

The spelling of 1358969376 in words is "one billion, three hundred fifty-eight million, nine hundred sixty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 79 96 114 152 158 228 237 304 316 456 474 608 632 912 948 1264 1501 1824 1896 2528 3002 3792 4503 6004 7584 9006 9431 12008 18012 18862 24016 28293 36024 37724 48032 56586 72048 75448 113172 144096 150896 179189 226344 301792 358378 452688 537567 716756 745049 905376 1075134 1433512 1490098 2150268 2235147 2867024 2980196 4300536 4470294 5734048 5960392 8601072 8940588 11920784 14155931 17202144 17881176 23841568 28311862 35762352 42467793 56623724 71524704 84935586 113247448 169871172 226494896 339742344 452989792 679484688 1358969376