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1241372928 = 28323312267
BaseRepresentation
bin100100111111101…
…1101100100000000
310012111212021112010
41021333131210000
510020242413203
6323102532520
742522332025
oct11177354400
93174767463
101241372928
115877a4944
122a7897140
1316a24bbc3
14bac1d54c
1573eae303
hex49fdd900

1241372928 has 144 divisors (see below), whose sum is σ = 3560288256. Its totient is φ = 382863360.

The previous prime is 1241372849. The next prime is 1241372953. The reversal of 1241372928 is 8292731421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 546451 + ... + 548717.

It is an arithmetic number, because the mean of its divisors is an integer number (24724224).

Almost surely, 21241372928 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 1241372928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780144128).

1241372928 is an abundant number, since it is smaller than the sum of its proper divisors (2318915328).

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

1241372928 is a wasteful number, since it uses less digits than its factorization.

1241372928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340 (or 2326 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 1241372928 is about 35233.1225979191. The cubic root of 1241372928 is about 1074.7334267449.

The spelling of 1241372928 in words is "one billion, two hundred forty-one million, three hundred seventy-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 32 46 48 62 64 69 92 93 96 124 128 138 184 186 192 248 256 276 368 372 384 496 552 713 736 744 768 992 1104 1426 1472 1488 1984 2139 2208 2267 2852 2944 2976 3968 4278 4416 4534 5704 5888 5952 6801 7936 8556 8832 9068 11408 11904 13602 17112 17664 18136 22816 23808 27204 34224 36272 45632 52141 54408 68448 70277 72544 91264 104282 108816 136896 140554 145088 156423 182528 208564 210831 217632 273792 281108 290176 312846 417128 421662 435264 547584 562216 580352 625692 834256 843324 870528 1124432 1251384 1616371 1668512 1686648 1741056 2248864 2502768 3232742 3337024 3373296 4497728 4849113 5005536 6465484 6674048 6746592 8995456 9698226 10011072 12930968 13348096 13493184 17990912 19396452 20022144 25861936 26986368 38792904 40044288 51723872 53972736 77585808 103447744 155171616 206895488 310343232 413790976 620686464 1241372928