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1150537968 = 2432173115161
BaseRepresentation
bin100010010010011…
…1101000011110000
32222011221101101100
41010210331003300
54324014203333
6310100004400
740340261046
oct10444750360
92864841340
101150537968
115404a3228
12281390700
13154496bc8
14acb36396
156b01a213
hex4493d0f0

1150537968 has 120 divisors (see below), whose sum is σ = 3519524736. Its totient is φ = 349286400.

The previous prime is 1150537961. The next prime is 1150537991. The reversal of 1150537968 is 8697350511.

It is a happy number.

1150537968 is a `hidden beast` number, since 1 + 1 + 50 + 537 + 9 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1150537961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68308 + ... + 83468.

Almost surely, 21150537968 is an apocalyptic number.

1150537968 is a gapful number since it is divisible by the number (18) 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 1150537968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759762368).

1150537968 is an abundant number, since it is smaller than the sum of its proper divisors (2368986768).

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

1150537968 is a wasteful number, since it uses less digits than its factorization.

1150537968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15223 (or 15214 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 1150537968 is about 33919.5808936372. The cubic root of 1150537968 is about 1047.8528968206.

The spelling of 1150537968 in words is "one billion, one hundred fifty million, five hundred thirty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 31 34 36 48 51 62 68 72 93 102 124 136 144 153 186 204 248 272 279 306 372 408 496 527 558 612 744 816 1054 1116 1224 1488 1581 2108 2232 2448 3162 4216 4464 4743 6324 8432 9486 12648 15161 18972 25296 30322 37944 45483 60644 75888 90966 121288 136449 181932 242576 257737 272898 363864 469991 515474 545796 727728 773211 939982 1030948 1091592 1409973 1546422 1879964 2061896 2183184 2319633 2819946 3092844 3759928 4123792 4229919 4639266 5639892 6185688 7519856 7989847 8459838 9278532 11279784 12371376 15979694 16919676 18557064 22559568 23969541 31959388 33839352 37114128 47939082 63918776 67678704 71908623 95878164 127837552 143817246 191756328 287634492 383512656 575268984 1150537968