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1523057140 = 2251197149479
BaseRepresentation
bin101101011001000…
…0000000111110100
310221010220022121201
41122302000013310
511104400312030
6411044222244
752512525553
oct13262000764
93833808551
101523057140
117117a9410
1236609a984
131b3706057
141063c5d9a
158daa12ca
hex5ac801f4

1523057140 has 96 divisors (see below), whose sum is σ = 3556224000. Its totient is φ = 543313920.

The previous prime is 1523057113. The next prime is 1523057143. The reversal of 1523057140 is 417503251.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1523057099 and 1523057108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1523057143) 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 31 ways as a sum of consecutive naturals, for example, 3179421 + ... + 3179899.

It is an arithmetic number, because the mean of its divisors is an integer number (37044000).

Almost surely, 21523057140 is an apocalyptic number.

1523057140 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 1523057140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778112000).

1523057140 is an abundant number, since it is smaller than the sum of its proper divisors (2033166860).

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

1523057140 is a wasteful number, since it uses less digits than its factorization.

1523057140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 1523057140 is about 39026.3646782531. The cubic root of 1523057140 is about 1150.5497409431.

The spelling of 1523057140 in words is "one billion, five hundred twenty-three million, fifty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 97 110 149 194 220 298 388 479 485 596 745 958 970 1067 1490 1639 1916 1940 2134 2395 2980 3278 4268 4790 5269 5335 6556 8195 9580 10538 10670 14453 16390 21076 21340 26345 28906 32780 46463 52690 57812 71371 72265 92926 105380 142742 144530 158983 185852 232315 285484 289060 317966 356855 464630 511093 635932 713710 785081 794915 929260 1022186 1427420 1570162 1589830 2044372 2555465 3140324 3179660 3925405 5110930 6922987 7850810 10221860 13845974 15701620 27691948 34614935 69229870 76152857 138459740 152305714 304611428 380764285 761528570 1523057140