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906326540 = 225723129833
BaseRepresentation
bin110110000001010…
…111001000001100
32100011102011021122
4312001113020030
53324004422130
6225533420112
731313435300
oct6601271014
92304364248
10906326540
114256635a9
1221363a638
13115a001c2
1488525d00
155487b2e5
hex3605720c

906326540 has 72 divisors (see below), whose sum is σ = 2285523072. Its totient is φ = 300706560.

The previous prime is 906326537. The next prime is 906326567. The reversal of 906326540 is 45623609.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 906326540.

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, 15464 + ... + 45296.

It is an arithmetic number, because the mean of its divisors is an integer number (31743376).

Almost surely, 2906326540 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 906326540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142761536).

906326540 is an abundant number, since it is smaller than the sum of its proper divisors (1379196532).

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

906326540 is a wasteful number, since it uses less digits than its factorization.

906326540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29887 (or 29878 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 906326540 is about 30105.2576803455. The cubic root of 906326540 is about 967.7464032427.

The spelling of 906326540 in words is "nine hundred six million, three hundred twenty-six thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 49 62 70 98 124 140 155 196 217 245 310 434 490 620 868 980 1085 1519 2170 3038 4340 6076 7595 15190 29833 30380 59666 119332 149165 208831 298330 417662 596660 835324 924823 1044155 1461817 1849646 2088310 2923634 3699292 4176620 4624115 5847268 6473761 7309085 9248230 12947522 14618170 18496460 25895044 29236340 32368805 45316327 64737610 90632654 129475220 181265308 226581635 453163270 906326540