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1091020480 = 26511378377
BaseRepresentation
bin100000100000111…
…1010011011000000
32211000221120201221
41001001322123000
54213300123410
6300132204424
736015343504
oct10101723300
92730846657
101091020480
1150a941920
12265469714
13145058764
14a4c82304
1565bb04da
hex4107a6c0

1091020480 has 112 divisors (see below), whose sum is σ = 2911120416. Its totient is φ = 385966080.

The previous prime is 1091020477. The next prime is 1091020481. The reversal of 1091020480 is 840201901.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1091020481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126052 + ... + 134428.

Almost surely, 21091020480 is an apocalyptic number.

1091020480 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 1091020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455560208).

1091020480 is an abundant number, since it is smaller than the sum of its proper divisors (1820099936).

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

1091020480 is a wasteful number, since it uses less digits than its factorization.

1091020480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8442 (or 8432 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 1091020480 is about 33030.5991468517. The cubic root of 1091020480 is about 1029.4635343786.

The spelling of 1091020480 in words is "one billion, ninety-one million, twenty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 37 40 44 55 64 74 80 88 110 148 160 176 185 220 296 320 352 370 407 440 592 704 740 814 880 1184 1480 1628 1760 2035 2368 2960 3256 3520 4070 5920 6512 8140 8377 11840 13024 16280 16754 26048 32560 33508 41885 65120 67016 83770 92147 130240 134032 167540 184294 268064 309949 335080 368588 460735 536128 619898 670160 737176 921470 1239796 1340320 1474352 1549745 1842940 2479592 2680640 2948704 3099490 3409439 3685880 4959184 5897408 6198980 6818878 7371760 9918368 12397960 13637756 14743520 17047195 19836736 24795920 27275512 29487040 34094390 49591840 54551024 68188780 99183680 109102048 136377560 218204096 272755120 545510240 1091020480