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4231680 = 29351929
BaseRepresentation
bin10000001001001000000000
321221222202220
4100021020000
52040403210
6230411040
750653155
oct20111000
97858686
104231680
112430362
121500a80
13b5216b
147c222c
15588c70
hex409200

4231680 has 160 divisors (see below), whose sum is σ = 14731200. Its totient is φ = 1032192.

The previous prime is 4231663. The next prime is 4231687. The reversal of 4231680 is 861324.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4231680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4231687) 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, 145906 + ... + 145934.

It is an arithmetic number, because the mean of its divisors is an integer number (92070).

Almost surely, 24231680 is an apocalyptic number.

4231680 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 4231680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7365600).

4231680 is an abundant number, since it is smaller than the sum of its proper divisors (10499520).

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

4231680 is a wasteful number, since it uses less digits than its factorization.

4231680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 4231680 is about 2057.1047615520. The cubic root of 4231680 is about 161.7475109644.

The spelling of 4231680 in words is "four million, two hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 29 30 32 38 40 48 57 58 60 64 76 80 87 95 96 114 116 120 128 145 152 160 174 190 192 228 232 240 256 285 290 304 320 348 380 384 435 456 464 480 512 551 570 580 608 640 696 760 768 870 912 928 960 1102 1140 1160 1216 1280 1392 1520 1536 1653 1740 1824 1856 1920 2204 2280 2320 2432 2560 2755 2784 3040 3306 3480 3648 3712 3840 4408 4560 4640 4864 5510 5568 6080 6612 6960 7296 7424 7680 8265 8816 9120 9280 9728 11020 11136 12160 13224 13920 14592 14848 16530 17632 18240 18560 22040 22272 24320 26448 27840 29184 33060 35264 36480 37120 44080 44544 48640 52896 55680 66120 70528 72960 74240 88160 105792 111360 132240 141056 145920 176320 211584 222720 264480 282112 352640 423168 528960 705280 846336 1057920 1410560 2115840 4231680