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1074832380 = 2232540114891
BaseRepresentation
bin100000000010000…
…1010001111111100
32202220111010211200
41000010022033330
54200124114010
6254353215500
735430632046
oct10004121774
92686433750
101074832380
11501795526
1225bb61590
131418ab3bb
14a2a6aa96
1564563cc0
hex4010a3fc

1074832380 has 72 divisors (see below), whose sum is σ = 3268674864. Its totient is φ = 285888000.

The previous prime is 1074832379. The next prime is 1074832387. The reversal of 1074832380 is 832384701.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1074832387) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64735 + ... + 79625.

It is an arithmetic number, because the mean of its divisors is an integer number (45398262).

Almost surely, 21074832380 is an apocalyptic number.

1074832380 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 1074832380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634337432).

1074832380 is an abundant number, since it is smaller than the sum of its proper divisors (2193842484).

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

1074832380 is a wasteful number, since it uses less digits than its factorization.

1074832380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15307 (or 15302 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1074832380 is about 32784.6363408228. The cubic root of 1074832380 is about 1024.3465611130.

The spelling of 1074832380 in words is "one billion, seventy-four million, eight hundred thirty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 401 802 1203 1604 2005 2406 3609 4010 4812 6015 7218 8020 12030 14436 14891 18045 24060 29782 36090 44673 59564 72180 74455 89346 134019 148910 178692 223365 268038 297820 446730 536076 670095 893460 1340190 2680380 5971291 11942582 17913873 23885164 29856455 35827746 53741619 59712910 71655492 89569365 107483238 119425820 179138730 214966476 268708095 358277460 537416190 1074832380