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1452457980 = 223457011279
BaseRepresentation
bin101011010010010…
…1011111111111100
310202020001111210000
41112210223333330
510433312123410
6400043114300
750664455241
oct12644537774
93666044700
101452457980
116859691a6
12346512990
131a1bb78bc
14dac895c8
15877a7dc0
hex5692bffc

1452457980 has 120 divisors (see below), whose sum is σ = 4566481920. Its totient is φ = 386467200.

The previous prime is 1452457969. The next prime is 1452457991. The reversal of 1452457980 is 897542541.

It is an interprime number because it is at equal distance from previous prime (1452457969) and next prime (1452457991).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1134981 + ... + 1136259.

It is an arithmetic number, because the mean of its divisors is an integer number (38054016).

Almost surely, 21452457980 is an apocalyptic number.

1452457980 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 1452457980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2283240960).

1452457980 is an abundant number, since it is smaller than the sum of its proper divisors (3114023940).

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

1452457980 is a wasteful number, since it uses less digits than its factorization.

1452457980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 1452457980 is about 38111.1267217331. The cubic root of 1452457980 is about 1132.4903906908.

The spelling of 1452457980 in words is "one billion, four hundred fifty-two million, four hundred fifty-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 701 810 1279 1402 1620 2103 2558 2804 3505 3837 4206 5116 6309 6395 7010 7674 8412 10515 11511 12618 12790 14020 15348 18927 19185 21030 23022 25236 25580 31545 34533 37854 38370 42060 46044 56781 57555 63090 69066 75708 76740 94635 103599 113562 115110 126180 138132 172665 189270 207198 227124 230220 283905 345330 378540 414396 517995 567810 690660 896579 1035990 1135620 1793158 2071980 2689737 3586316 4482895 5379474 8069211 8965790 10758948 13448685 16138422 17931580 24207633 26897370 32276844 40346055 48415266 53794740 72622899 80692110 96830532 121038165 145245798 161384220 242076330 290491596 363114495 484152660 726228990 1452457980