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1332756140 = 22517191032003
BaseRepresentation
bin100111101110000…
…0011111010101100
310102212211000201112
41033130003322230
510212141144030
6340125331152
745012145262
oct11734037254
93385730645
101332756140
11624340461
12312406ab8
13183166601
14c900a432
157c010a95
hex4f703eac

1332756140 has 96 divisors (see below), whose sum is σ = 3151249920. Its totient is φ = 470486016.

The previous prime is 1332756119. The next prime is 1332756143. The reversal of 1332756140 is 416572331.

It is a junction number, because it is equal to n+sod(n) for n = 1332756097 and 1332756106.

It is not an unprimeable number, because it can be changed into a prime (1332756143) 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 31 ways as a sum of consecutive naturals, for example, 664379 + ... + 666381.

It is an arithmetic number, because the mean of its divisors is an integer number (32825520).

Almost surely, 21332756140 is an apocalyptic number.

1332756140 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 1332756140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575624960).

1332756140 is an abundant number, since it is smaller than the sum of its proper divisors (1818493780).

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

1332756140 is a wasteful number, since it uses less digits than its factorization.

1332756140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 1332756140 is about 36506.9327662569. The cubic root of 1332756140 is about 1100.4835725088.

The spelling of 1332756140 in words is "one billion, three hundred thirty-two million, seven hundred fifty-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 103 170 190 206 323 340 380 412 515 646 1030 1292 1615 1751 1957 2003 2060 3230 3502 3914 4006 6460 7004 7828 8012 8755 9785 10015 17510 19570 20030 33269 34051 35020 38057 39140 40060 66538 68102 76114 133076 136204 152228 166345 170255 190285 206309 332690 340510 380570 412618 646969 665380 681020 761140 825236 1031545 1293938 2063090 2587876 3234845 3507253 3919871 4126180 6469690 7014506 7839742 12939380 14029012 15679484 17536265 19599355 35072530 39198710 66637807 70145060 78397420 133275614 266551228 333189035 666378070 1332756140