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4074720 = 253513653
BaseRepresentation
bin1111100010110011100000
321200000110120
433202303200
52020342340
6223200240
746430436
oct17426340
97600416
104074720
112333441
121446080
13ac88a0
14780d56
155574d0
hex3e2ce0

4074720 has 96 divisors (see below), whose sum is σ = 13843872. Its totient is φ = 1001472.

The previous prime is 4074709. The next prime is 4074731. The reversal of 4074720 is 274704.

4074720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4074709) and next prime (4074731).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5914 + ... + 6566.

It is an arithmetic number, because the mean of its divisors is an integer number (144207).

Almost surely, 24074720 is an apocalyptic number.

4074720 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 4074720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6921936).

4074720 is an abundant number, since it is smaller than the sum of its proper divisors (9769152).

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

4074720 is a wasteful number, since it uses less digits than its factorization.

4074720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 4074720 is about 2018.5935697906. The cubic root of 4074720 is about 159.7224354320.

The spelling of 4074720 in words is "four million, seventy-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 653 780 1040 1248 1306 1560 1959 2080 2612 3120 3265 3918 5224 6240 6530 7836 8489 9795 10448 13060 15672 16978 19590 20896 25467 26120 31344 33956 39180 42445 50934 52240 62688 67912 78360 84890 101868 104480 127335 135824 156720 169780 203736 254670 271648 313440 339560 407472 509340 679120 814944 1018680 1358240 2037360 4074720