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1464141630 = 235735319751
BaseRepresentation
bin101011101000101…
…0000011100111110
310210001001002201210
41113101100130332
510444310013010
6401141345250
751165666330
oct12721203476
93701032653
101464141630
11691519306
1234a408226
131a44488c3
14dc64b450
1588814b20
hex5745073e

1464141630 has 64 divisors (see below), whose sum is σ = 4027511808. Its totient is φ = 333696000.

The previous prime is 1464141559. The next prime is 1464141631. The reversal of 1464141630 is 361414641.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1464141631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64255 + ... + 84005.

It is an arithmetic number, because the mean of its divisors is an integer number (62929872).

Almost surely, 21464141630 is an apocalyptic number.

1464141630 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 1464141630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013755904).

1464141630 is an abundant number, since it is smaller than the sum of its proper divisors (2563370178).

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

1464141630 is a wasteful number, since it uses less digits than its factorization.

1464141630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20121.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1464141630 is about 38264.1036743316. The cubic root of 1464141630 is about 1135.5188891893.

The spelling of 1464141630 in words is "one billion, four hundred sixty-four million, one hundred forty-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 353 706 1059 1765 2118 2471 3530 4942 5295 7413 10590 12355 14826 19751 24710 37065 39502 59253 74130 98755 118506 138257 197510 276514 296265 414771 592530 691285 829542 1382570 2073855 4147710 6972103 13944206 20916309 34860515 41832618 48804721 69721030 97609442 104581545 146414163 209163090 244023605 292828326 488047210 732070815 1464141630