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1090908672 = 2937241421
BaseRepresentation
bin100000100000101…
…1111001000000000
32211000201220100220
41001001133020000
54213233034142
6300125543040
736014366520
oct10101371000
92730656326
101090908672
1150a875917
12265414a80
131450198b9
14a4c53680
1565b8c2ec
hex4105f200

1090908672 has 160 divisors (see below), whose sum is σ = 3343131264. Its totient is φ = 309657600.

The previous prime is 1090908661. The next prime is 1090908697. The reversal of 1090908672 is 2768090901.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 2591022 + ... + 2591442.

Almost surely, 21090908672 is an apocalyptic number.

1090908672 is a gapful number since it is divisible by the number (12) 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 1090908672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671565632).

1090908672 is an abundant number, since it is smaller than the sum of its proper divisors (2252222592).

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

1090908672 is an equidigital number, since it uses as much as digits as its factorization.

1090908672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 1090908672 is about 33028.9066122389. The cubic root of 1090908672 is about 1029.4283666333.

The spelling of 1090908672 in words is "one billion, ninety million, nine hundred eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 241 256 336 384 421 448 482 512 672 723 768 842 896 964 1263 1344 1446 1536 1684 1687 1792 1928 2526 2688 2892 2947 3368 3374 3584 3856 5052 5061 5376 5784 5894 6736 6748 7712 8841 10104 10122 10752 11568 11788 13472 13496 15424 17682 20208 20244 23136 23576 26944 26992 30848 35364 40416 40488 46272 47152 53888 53984 61696 70728 80832 80976 92544 94304 101461 107776 107968 123392 141456 161664 161952 185088 188608 202922 215552 215936 282912 304383 323328 323904 370176 377216 405844 431872 565824 608766 646656 647808 710227 754432 811688 863744 1131648 1217532 1295616 1420454 1508864 1623376 2130681 2263296 2435064 2591232 2840908 3246752 4261362 4526592 4870128 5681816 6493504 8522724 9740256 11363632 12987008 17045448 19480512 22727264 25974016 34090896 38961024 45454528 51948032 68181792 77922048 90909056 136363584 155844096 181818112 272727168 363636224 545454336 1090908672