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1121974080 = 26358314081
BaseRepresentation
bin100001011011111…
…1111011101000000
32220012012012002120
41002313333131000
54244211132310
6303155444240
736542423313
oct10267773500
92805165076
101121974080
11526363807
122738b6680
1314b5a57b6
14a901c97a
1568776b70
hex42dff740

1121974080 has 112 divisors (see below), whose sum is σ = 3605442624. Its totient is φ = 295567360.

The previous prime is 1121974057. The next prime is 1121974081. The reversal of 1121974080 is 804791211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121974081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72640 + ... + 86720.

It is an arithmetic number, because the mean of its divisors is an integer number (32191452).

Almost surely, 21121974080 is an apocalyptic number.

1121974080 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 1121974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802721312).

1121974080 is an abundant number, since it is smaller than the sum of its proper divisors (2483468544).

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

1121974080 is a wasteful number, since it uses less digits than its factorization.

1121974080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14184 (or 14174 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 1121974080 is about 33495.8815378846. The cubic root of 1121974080 is about 1039.1086050305.

The spelling of 1121974080 in words is "one billion, one hundred twenty-one million, nine hundred seventy-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 83 96 120 160 166 192 240 249 320 332 415 480 498 664 830 960 996 1245 1328 1660 1992 2490 2656 3320 3984 4980 5312 6640 7968 9960 13280 14081 15936 19920 26560 28162 39840 42243 56324 70405 79680 84486 112648 140810 168972 211215 225296 281620 337944 422430 450592 563240 675888 844860 901184 1126480 1168723 1351776 1689720 2252960 2337446 2703552 3379440 3506169 4505920 4674892 5843615 6758880 7012338 9349784 11687230 13517760 14024676 17530845 18699568 23374460 28049352 35061690 37399136 46748920 56098704 70123380 74798272 93497840 112197408 140246760 186995680 224394816 280493520 373991360 560987040 1121974080