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1133561040 = 243547100493
BaseRepresentation
bin100001110010000…
…1100010011010000
32220222222212102020
41003210030103100
54310142423130
6304252051440
740043052453
oct10344142320
92828885366
101133561040
11531958207
12277763b80
13150b017a1
14aa79749a
15697b4e10
hex4390c4d0

1133561040 has 80 divisors (see below), whose sum is σ = 3588841728. Its totient is φ = 295848448.

The previous prime is 1133561027. The next prime is 1133561059. The reversal of 1133561040 is 401653311.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1133561040.

It is a congruent number.

It is an unprimeable number.

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, 38967 + ... + 61526.

Almost surely, 21133561040 is an apocalyptic number.

1133561040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1133561040 is an abundant number, since it is smaller than the sum of its proper divisors (2455280688).

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

1133561040 is a wasteful number, since it uses less digits than its factorization.

1133561040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100556 (or 100550 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1133561040 is about 33668.3982392985. The cubic root of 1133561040 is about 1042.6734226038.

The spelling of 1133561040 in words is "one billion, one hundred thirty-three million, five hundred sixty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1128 1410 1880 2256 2820 3760 5640 11280 100493 200986 301479 401972 502465 602958 803944 1004930 1205916 1507395 1607888 2009860 2411832 3014790 4019720 4723171 4823664 6029580 8039440 9446342 12059160 14169513 18892684 23615855 24118320 28339026 37785368 47231710 56678052 70847565 75570736 94463420 113356104 141695130 188926840 226712208 283390260 377853680 566780520 1133561040