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1090130960 = 245411632039
BaseRepresentation
bin100000011111010…
…0001010000010000
32210222021101112202
41000332201100100
54213033142320
6300101142332
736004650242
oct10076412020
92728241482
101090130960
1150a394586
122650ba9a8
13144b06909
14a4ad0092
1565a86b75
hex40fa1410

1090130960 has 80 divisors (see below), whose sum is σ = 2613582720. Its totient is φ = 422599680.

The previous prime is 1090130959. The next prime is 1090130981. The reversal of 1090130960 is 690310901.

It is a tau number, because it is divible by the number of its divisors (80).

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, 533621 + ... + 535659.

It is an arithmetic number, because the mean of its divisors is an integer number (32669784).

Almost surely, 21090130960 is an apocalyptic number.

1090130960 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 1090130960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306791360).

1090130960 is an abundant number, since it is smaller than the sum of its proper divisors (1523451760).

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

1090130960 is a wasteful number, since it uses less digits than its factorization.

1090130960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 29.

The square root of 1090130960 is about 33017.1313108816. The cubic root of 1090130960 is about 1029.1836809752.

The spelling of 1090130960 in words is "one billion, ninety million, one hundred thirty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 163 164 205 326 328 410 652 656 815 820 1304 1630 1640 2039 2608 3260 3280 4078 6520 6683 8156 10195 13040 13366 16312 20390 26732 32624 33415 40780 53464 66830 81560 83599 106928 133660 163120 167198 267320 332357 334396 417995 534640 664714 668792 835990 1329428 1337584 1661785 1671980 2658856 3323570 3343960 5317712 6647140 6687920 13294280 13626637 26588560 27253274 54506548 68133185 109013096 136266370 218026192 272532740 545065480 1090130960