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4073880 = 2335171997
BaseRepresentation
bin1111100010100110011000
321122222022110
433202212120
52020331010
6223152320
746425126
oct17424630
97588273
104073880
112332848
1214456a0
13ac83a5
14780916
15557120
hex3e2998

4073880 has 64 divisors (see below), whose sum is σ = 12947040. Its totient is φ = 1021952.

The previous prime is 4073879. The next prime is 4073887. The reversal of 4073880 is 883704.

4073880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4073887) by changing a digit.

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, 1042 + ... + 3038.

Almost surely, 24073880 is an apocalyptic number.

4073880 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 4073880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6473520).

4073880 is an abundant number, since it is smaller than the sum of its proper divisors (8873160).

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

4073880 is a wasteful number, since it uses less digits than its factorization.

4073880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 4073880 is about 2018.3854934080. The cubic root of 4073880 is about 159.7114591305.

It can be divided in two parts, 40 and 73880, that added together give a triangular number (73920 = T384).

The spelling of 4073880 in words is "four million, seventy-three thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 1997 2040 3994 5991 7988 9985 11982 15976 19970 23964 29955 33949 39940 47928 59910 67898 79880 101847 119820 135796 169745 203694 239640 271592 339490 407388 509235 678980 814776 1018470 1357960 2036940 4073880