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1350666528 = 253193123887
BaseRepresentation
bin101000010000001…
…1000100100100000
310111010111222011020
41100200120210200
510231232312103
6342005245440
745320322201
oct12040304440
93433458136
101350666528
11633463832
12318403880
13186a97883
14cb54d5a8
157d89c753
hex50818920

1350666528 has 96 divisors (see below), whose sum is σ = 3852656640. Its totient is φ = 412750080.

The previous prime is 1350666523. The next prime is 1350666529. The reversal of 1350666528 is 8256660531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 1350666528.

It is not an unprimeable number, because it can be changed into a prime (1350666523) 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, 44601 + ... + 68487.

It is an arithmetic number, because the mean of its divisors is an integer number (40131840).

Almost surely, 21350666528 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 1350666528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926328320).

1350666528 is an abundant number, since it is smaller than the sum of its proper divisors (2501990112).

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

1350666528 is a wasteful number, since it uses less digits than its factorization.

1350666528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23950 (or 23942 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 1350666528 is about 36751.4153196853. The cubic root of 1350666528 is about 1105.3913093064.

The spelling of 1350666528 in words is "one billion, three hundred fifty million, six hundred sixty-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 76 93 96 114 124 152 186 228 248 304 372 456 496 589 608 744 912 992 1178 1488 1767 1824 2356 2976 3534 4712 7068 9424 14136 18848 23887 28272 47774 56544 71661 95548 143322 191096 286644 382192 453853 573288 740497 764384 907706 1146576 1361559 1480994 1815412 2221491 2293152 2723118 2961988 3630824 4442982 5446236 5923976 7261648 8885964 10892472 11847952 14069443 14523296 17771928 21784944 23695904 28138886 35543856 42208329 43569888 56277772 71087712 84416658 112555544 168833316 225111088 337666632 450222176 675333264 1350666528