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4375680 = 27354353
BaseRepresentation
bin10000101100010010000000
322020022022020
4100230102000
52110010210
6233441440
752123041
oct20542200
98208266
104375680
112519571
121570280
13ba287a
1481c8c8
155b6770
hex42c480

4375680 has 128 divisors (see below), whose sum is σ = 14541120. Its totient is φ = 1118208.

The previous prime is 4375673. The next prime is 4375687. The reversal of 4375680 is 865734.

It is an interprime number because it is at equal distance from previous prime (4375673) and next prime (4375687).

It is a tau number, because it is divible by the number of its divisors (128).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4375687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82534 + ... + 82586.

Almost surely, 24375680 is an apocalyptic number.

4375680 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 4375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7270560).

4375680 is an abundant number, since it is smaller than the sum of its proper divisors (10165440).

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

4375680 is a wasteful number, since it uses less digits than its factorization.

4375680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 4375680 is about 2091.8126111103. The cubic root of 4375680 is about 163.5617886898.

The spelling of 4375680 in words is "four million, three hundred seventy-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 53 60 64 80 86 96 106 120 128 129 159 160 172 192 212 215 240 258 265 318 320 344 384 424 430 480 516 530 636 640 645 688 795 848 860 960 1032 1060 1272 1290 1376 1590 1696 1720 1920 2064 2120 2279 2544 2580 2752 3180 3392 3440 4128 4240 4558 5088 5160 5504 6360 6784 6837 6880 8256 8480 9116 10176 10320 11395 12720 13674 13760 16512 16960 18232 20352 20640 22790 25440 27348 27520 33920 34185 36464 41280 45580 50880 54696 68370 72928 82560 91160 101760 109392 136740 145856 182320 218784 273480 291712 364640 437568 546960 729280 875136 1093920 1458560 2187840 4375680