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1121305920 = 26357166861
BaseRepresentation
bin100001011010101…
…1100010101000000
32220010221020112220
41002311130111000
54244023242140
6303133251040
736533641320
oct10265342500
92803836486
101121305920
11525a47809
12273633a80
1314b400637
14a8cc7280
1568693bd0
hex42d5c540

1121305920 has 112 divisors (see below), whose sum is σ = 4068763008. Its totient is φ = 256296960.

The previous prime is 1121305879. The next prime is 1121305921. The reversal of 1121305920 is 295031211.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121305921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76711 + ... + 90150.

Almost surely, 21121305920 is an apocalyptic number.

1121305920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121305920 is an abundant number, since it is smaller than the sum of its proper divisors (2947457088).

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

1121305920 is a wasteful number, since it uses less digits than its factorization.

1121305920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166888 (or 166878 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 1121305920 is about 33485.9062890644. The cubic root of 1121305920 is about 1038.9022934691.

The spelling of 1121305920 in words is "one billion, one hundred twenty-one million, three hundred five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 166861 333722 500583 667444 834305 1001166 1168027 1334888 1668610 2002332 2336054 2502915 2669776 3337220 3504081 4004664 4672108 5005830 5339552 5840135 6674440 7008162 8009328 9344216 10011660 10679104 11680270 13348880 14016324 16018656 17520405 18688432 20023320 23360540 26697760 28032648 32037312 35040810 37376864 40046640 46721080 53395520 56065296 70081620 74753728 80093280 93442160 112130592 140163240 160186560 186884320 224261184 280326480 373768640 560652960 1121305920