Search a number
-
+
930325590400 = 27521415920533
BaseRepresentation
bin11011000100110111011…
…10011111000110000000
310021221022222201200200011
431202123232133012000
5110220301322343100
61551215150034304
7124133223020353
oct15423356370600
93257288650604
10930325590400
113296045a67a8
121303781a8994
136996343bb3b
1433056b8629a
15192eea1bbba
hexd89bb9f180

930325590400 has 96 divisors (see below), whose sum is σ = 2298469183200. Its totient is φ = 372085831680.

The previous prime is 930325590329. The next prime is 930325590443. The reversal of 930325590400 is 4095523039.

930325590400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (40) 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 (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45298534 + ... + 45319066.

It is an arithmetic number, because the mean of its divisors is an integer number (23942387325).

Almost surely, 2930325590400 is an apocalyptic number.

It is an amenable number.

930325590400 is an abundant number, since it is smaller than the sum of its proper divisors (1368143592800).

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

930325590400 is a wasteful number, since it uses less digits than its factorization.

930325590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34716 (or 34699 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 40.

The spelling of 930325590400 in words is "nine hundred thirty billion, three hundred twenty-five million, five hundred ninety thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 14159 20533 28318 41066 56636 70795 82132 102665 113272 141590 164264 205330 226544 283180 328528 353975 410660 453088 513325 566360 657056 707950 821320 906176 1026650 1132720 1314112 1415900 1642640 1812352 2053300 2265440 2628224 2831800 3285280 4106600 4530880 5663600 6570560 8213200 9061760 11327200 13141120 16426400 22654400 32852800 45308800 65705600 290726747 581453494 1162906988 1453633735 2325813976 2907267470 4651627952 5814534940 7268168675 9303255904 11629069880 14536337350 18606511808 23258139760 29072674700 37213023616 46516279520 58145349400 93032559040 116290698800 186065118080 232581397600 465162795200 930325590400