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8058930040 = 2357237111127
BaseRepresentation
bin1111000000101100…
…11000001101111000
3202210122022001201101
413200112120031320
5113001041230130
63411402501144
7403464526600
oct74026301570
922718261641
108058930040
113466068467
12168ab047b4
139b5807075
14566447c00
1532278b1ca
hex1e0598378

8058930040 has 96 divisors (see below), whose sum is σ = 21663292320. Its totient is φ = 2688360192.

The previous prime is 8058930037. The next prime is 8058930101. The reversal of 8058930040 is 400398508.

It is a super-2 number, since 2×80589300402 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16957 + ... + 128083.

It is an arithmetic number, because the mean of its divisors is an integer number (225659295).

Almost surely, 28058930040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8058930040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10831646160).

8058930040 is an abundant number, since it is smaller than the sum of its proper divisors (13604362280).

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

8058930040 is a wasteful number, since it uses less digits than its factorization.

8058930040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111189 (or 111178 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 8058930040 is about 89771.5435981804. The cubic root of 8058930040 is about 2004.8988276136.

The spelling of 8058930040 in words is "eight billion, fifty-eight million, nine hundred thirty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 49 56 70 74 98 140 148 185 196 245 259 280 296 370 392 490 518 740 980 1036 1295 1480 1813 1960 2072 2590 3626 5180 7252 9065 10360 14504 18130 36260 72520 111127 222254 444508 555635 777889 889016 1111270 1555778 2222540 3111556 3889445 4111699 4445080 5445223 6223112 7778890 8223398 10890446 15557780 16446796 20558495 21780892 27226115 28781893 31115560 32893592 41116990 43561784 54452230 57563786 82233980 108904460 115127572 143909465 164467960 201473251 217808920 230255144 287818930 402946502 575637860 805893004 1007366255 1151275720 1611786008 2014732510 4029465020 8058930040