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4001753130 = 235378394297
BaseRepresentation
bin1110111010000101…
…1110100000101010
3101022220000010021220
43232201132200222
531143422100010
61501031242510
7201111224514
oct35641364052
911286003256
104001753130
1117739813a1
12938219436
134ba0b667b
1429d68cbb4
151864be970
hexee85e82a

4001753130 has 64 divisors (see below), whose sum is σ = 9877835520. Its totient is φ = 1036813824.

The previous prime is 4001753113. The next prime is 4001753183. The reversal of 4001753130 is 313571004.

4001753130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40017531302 = 32028056226929593800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4001753130.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 929142 + ... + 933438.

It is an arithmetic number, because the mean of its divisors is an integer number (154341180).

Almost surely, 24001753130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4001753130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4938917760).

4001753130 is an abundant number, since it is smaller than the sum of its proper divisors (5876082390).

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

4001753130 is a wasteful number, since it uses less digits than its factorization.

4001753130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5183.

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 4001753130 is about 63259.4113946692. The cubic root of 4001753130 is about 1587.6329281296.

The spelling of 4001753130 in words is "four billion, one million, seven hundred fifty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 839 1110 1678 2517 4195 4297 5034 8390 8594 12585 12891 21485 25170 25782 31043 42970 62086 64455 93129 128910 155215 158989 186258 310430 317978 465645 476967 794945 931290 953934 1589890 2384835 3605183 4769670 7210366 10815549 18025915 21631098 36051830 54077745 108155490 133391771 266783542 400175313 666958855 800350626 1333917710 2000876565 4001753130