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1121972752 = 242383109337
BaseRepresentation
bin100001011011111…
…1111001000010000
32220012012010021101
41002313333020100
54244211112002
6303155434144
736542416405
oct10267771020
92805163241
101121972752
1152636280a
122738b5954
1314b5a5004
14a901c2ac
1568776587
hex42dff210

1121972752 has 80 divisors (see below), whose sum is σ = 2323601280. Its totient is φ = 523708416.

The previous prime is 1121972723. The next prime is 1121972759. The reversal of 1121972752 is 2572791211.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1121972759) 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, 3329128 + ... + 3329464.

It is an arithmetic number, because the mean of its divisors is an integer number (29045016).

Almost surely, 21121972752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121972752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161800640).

1121972752 is an abundant number, since it is smaller than the sum of its proper divisors (1201628528).

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

1121972752 is a wasteful number, since it uses less digits than its factorization.

1121972752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 554 counting only the distinct ones).

The product of its digits is 17640, while the sum is 37.

The square root of 1121972752 is about 33495.8617145462. The cubic root of 1121972752 is about 1039.1081950577.

The spelling of 1121972752 in words is "one billion, one hundred twenty-one million, nine hundred seventy-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 23 46 83 92 109 166 184 218 332 337 368 436 664 674 872 1328 1348 1744 1909 2507 2696 3818 5014 5392 7636 7751 9047 10028 15272 15502 18094 20056 27971 30544 31004 36188 36733 40112 55942 62008 72376 73466 111884 124016 144752 146932 208081 223768 293864 416162 447536 587728 643333 832324 844859 1286666 1664648 1689718 2573332 3048839 3329296 3379436 5146664 6097678 6758872 10293328 12195356 13517744 24390712 48781424 70123297 140246594 280493188 560986376 1121972752