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1639030440 = 2335193719429
BaseRepresentation
bin110000110110001…
…1001111010101000
311020020010101002010
41201230121322220
511324042433230
6430350035520
755421346255
oct14154317250
94206111063
101639030440
1177120a913
12398aa8ba0
132017501c8
1411797442c
1598d5d9b0
hex61b19ea8

1639030440 has 128 divisors (see below), whose sum is σ = 5316048000. Its totient is φ = 402859008.

The previous prime is 1639030427. The next prime is 1639030453. The reversal of 1639030440 is 440309361.

It is an interprime number because it is at equal distance from previous prime (1639030427) and next prime (1639030453).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1639030398 and 1639030407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74646 + ... + 94074.

It is an arithmetic number, because the mean of its divisors is an integer number (41531625).

Almost surely, 21639030440 is an apocalyptic number.

1639030440 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 1639030440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658024000).

1639030440 is an abundant number, since it is smaller than the sum of its proper divisors (3677017560).

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

1639030440 is a wasteful number, since it uses less digits than its factorization.

1639030440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19499 (or 19495 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 1639030440 is about 40484.9409039954. The cubic root of 1639030440 is about 1179.0412685612.

The spelling of 1639030440 in words is "one billion, six hundred thirty-nine million, thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 37 38 40 57 60 74 76 95 111 114 120 148 152 185 190 222 228 285 296 370 380 444 456 555 570 703 740 760 888 1110 1140 1406 1480 2109 2220 2280 2812 3515 4218 4440 5624 7030 8436 10545 14060 16872 19429 21090 28120 38858 42180 58287 77716 84360 97145 116574 155432 194290 233148 291435 369151 388580 466296 582870 718873 738302 777160 1107453 1165740 1437746 1476604 1845755 2156619 2214906 2331480 2875492 2953208 3594365 3691510 4313238 4429812 5537265 5750984 7188730 7383020 8626476 8859624 10783095 11074530 13658587 14377460 14766040 17252952 21566190 22149060 27317174 28754920 40975761 43132380 44298120 54634348 68292935 81951522 86264760 109268696 136585870 163903044 204878805 273171740 327806088 409757610 546343480 819515220 1639030440