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1642047990 = 23511311511063
BaseRepresentation
bin110000111011111…
…1010100111110110
311020102210200101020
41201313322213312
511330331013430
6430534442010
755456114632
oct14167724766
94212720336
101642047990
11772990a60
12399b03306
1320226883b
1411811bdc2
1599257b10
hex61dfa9f6

1642047990 has 128 divisors (see below), whose sum is σ = 4471455744. Its totient is φ = 382320000.

The previous prime is 1642047983. The next prime is 1642047997. The reversal of 1642047990 is 997402461.

It is an interprime number because it is at equal distance from previous prime (1642047983) and next prime (1642047997).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1642047997) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1544199 + ... + 1545261.

It is an arithmetic number, because the mean of its divisors is an integer number (34933248).

Almost surely, 21642047990 is an apocalyptic number.

1642047990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1642047990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235727872).

1642047990 is an abundant number, since it is smaller than the sum of its proper divisors (2829407754).

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

1642047990 is a wasteful number, since it uses less digits than its factorization.

1642047990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266.

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 1642047990 is about 40522.1913277157. The cubic root of 1642047990 is about 1179.7643860705.

The spelling of 1642047990 in words is "one billion, six hundred forty-two million, forty-seven thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 151 155 165 186 302 310 330 341 453 465 682 755 906 930 1023 1063 1510 1661 1705 2046 2126 2265 3189 3322 3410 4530 4681 4983 5115 5315 6378 8305 9362 9966 10230 10630 11693 14043 15945 16610 23386 23405 24915 28086 31890 32953 35079 46810 49830 51491 58465 65906 70158 70215 98859 102982 116930 140430 154473 160513 164765 175395 197718 257455 308946 321026 329530 350790 362483 481539 494295 514910 724966 772365 802565 963078 988590 1087449 1544730 1605130 1765643 1812415 2174898 2407695 3531286 3624830 4815390 4975903 5296929 5437245 8828215 9951806 10593858 10874490 14927709 17656430 24879515 26484645 29855418 49759030 52969290 54734933 74638545 109469866 149277090 164204799 273674665 328409598 547349330 821023995 1642047990