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64420440 = 23357531447
BaseRepresentation
bin1111010110111…
…1101001011000
311111012220020020
43311233221120
5112442423230
610220430440
71411364460
oct365575130
9144186206
1064420440
1133400037
12196a8420
1310467006
1487acba0
1559c7810
hex3d6fa58

64420440 has 128 divisors (see below), whose sum is σ = 225192960. Its totient is φ = 14436864.

The previous prime is 64420427. The next prime is 64420451. The reversal of 64420440 is 4402446.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 64420440.

It is a congruent number.

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, 43797 + ... + 45243.

It is an arithmetic number, because the mean of its divisors is an integer number (1759320).

Almost surely, 264420440 is an apocalyptic number.

64420440 is a gapful number since it is divisible by the number (60) 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 64420440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112596480).

64420440 is an abundant number, since it is smaller than the sum of its proper divisors (160772520).

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

64420440 is a wasteful number, since it uses less digits than its factorization.

64420440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 64420440 is about 8026.2344844890. The cubic root of 64420440 is about 400.8740055614.

Adding to 64420440 its reverse (4402446), we get a palindrome (68822886).

The spelling of 64420440 in words is "sixty-four million, four hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 53 56 60 70 84 105 106 120 140 159 168 210 212 265 280 318 371 420 424 530 636 742 795 840 1060 1113 1272 1447 1484 1590 1855 2120 2226 2894 2968 3180 3710 4341 4452 5565 5788 6360 7235 7420 8682 8904 10129 11130 11576 14470 14840 17364 20258 21705 22260 28940 30387 34728 40516 43410 44520 50645 57880 60774 76691 81032 86820 101290 121548 151935 153382 173640 202580 230073 243096 303870 306764 383455 405160 460146 536837 607740 613528 766910 920292 1073674 1150365 1215480 1533820 1610511 1840584 2147348 2300730 2684185 3067640 3221022 4294696 4601460 5368370 6442044 8052555 9202920 10736740 12884088 16105110 21473480 32210220 64420440