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4100430320 = 245710172497
BaseRepresentation
bin1111010001100111…
…1001100111110000
3101120202200102221122
43310121321213300
531344202232240
61514514241412
7203420040230
oct36431714760
911522612848
104100430320
111814649a98
12965286268
1350468603c
142ac817cc0
1518eeb24b5
hexf46799f0

4100430320 has 80 divisors (see below), whose sum is σ = 11003456448. Its totient is φ = 1391923200.

The previous prime is 4100430319. The next prime is 4100430349. The reversal of 4100430320 is 230340014.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20312 + ... + 92808.

Almost surely, 24100430320 is an apocalyptic number.

4100430320 is a gapful number since it is divisible by the number (40) 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 4100430320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5501728224).

4100430320 is an abundant number, since it is smaller than the sum of its proper divisors (6903026128).

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

4100430320 is a wasteful number, since it uses less digits than its factorization.

4100430320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72618 (or 72612 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 4100430320 is about 64034.6025208246. The cubic root of 4100430320 is about 1600.5766567253.

Adding to 4100430320 its reverse (230340014), we get a palindrome (4330770334).

The spelling of 4100430320 in words is "four billion, one hundred million, four hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 101 112 140 202 280 404 505 560 707 808 1010 1414 1616 2020 2828 3535 4040 5656 7070 8080 11312 14140 28280 56560 72497 144994 289988 362485 507479 579976 724970 1014958 1159952 1449940 2029916 2537395 2899880 4059832 5074790 5799760 7322197 8119664 10149580 14644394 20299160 29288788 36610985 40598320 51255379 58577576 73221970 102510758 117155152 146443940 205021516 256276895 292887880 410043032 512553790 585775760 820086064 1025107580 2050215160 4100430320