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63421440 = 210354129
BaseRepresentation
bin1111000111101…
…1110000000000
311102100010212020
43301323300000
5112213441230
610143201440
71400034105
oct361736000
9142303766
1063421440
1132888515
12192a6280
13101a73a4
1485ccaac
15587b810
hex3c7bc00

63421440 has 88 divisors (see below), whose sum is σ = 202898640. Its totient is φ = 16908288.

The previous prime is 63421439. The next prime is 63421453. The reversal of 63421440 is 4412436.

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 63421440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13296 + ... + 17424.

Almost surely, 263421440 is an apocalyptic number.

63421440 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 63421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101449320).

63421440 is an abundant number, since it is smaller than the sum of its proper divisors (139477200).

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

63421440 is a wasteful number, since it uses less digits than its factorization.

63421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4157 (or 4139 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 63421440 is about 7963.7579069181. The cubic root of 63421440 is about 398.7910162438.

Adding to 63421440 its reverse (4412436), we get a palindrome (67833876).

The spelling of 63421440 in words is "sixty-three million, four hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2560 3072 3840 4129 5120 7680 8258 12387 15360 16516 20645 24774 33032 41290 49548 61935 66064 82580 99096 123870 132128 165160 198192 247740 264256 330320 396384 495480 528512 660640 792768 990960 1057024 1321280 1585536 1981920 2114048 2642560 3171072 3963840 4228096 5285120 6342144 7927680 10570240 12684288 15855360 21140480 31710720 63421440