Search a number
-
+
1008791130 = 235198321323
BaseRepresentation
bin111100001000001…
…110111001011010
32121022012220021110
4330020032321122
54031222304010
6244033521150
733666404004
oct7410167132
92538186243
101008791130
11478488786
12241a131b6
13130cc7739
1497d99374
155d86b120
hex3c20ee5a

1008791130 has 64 divisors (see below), whose sum is σ = 2579351040. Its totient is φ = 251770176.

The previous prime is 1008791117. The next prime is 1008791141. The reversal of 1008791130 is 311978001.

1008791130 is digitally balanced in base 2 and base 6, because in such bases 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36649 + ... + 57971.

It is an arithmetic number, because the mean of its divisors is an integer number (40302360).

Almost surely, 21008791130 is an apocalyptic number.

1008791130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1008791130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289675520).

1008791130 is an abundant number, since it is smaller than the sum of its proper divisors (1570559910).

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

1008791130 is a wasteful number, since it uses less digits than its factorization.

1008791130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21435.

The product of its (nonzero) digits is 1512, while the sum is 30.

The square root of 1008791130 is about 31761.4724154911. The cubic root of 1008791130 is about 1002.9218312541.

The spelling of 1008791130 in words is "one billion, eight million, seven hundred ninety-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 83 95 114 166 190 249 285 415 498 570 830 1245 1577 2490 3154 4731 7885 9462 15770 21323 23655 42646 47310 63969 106615 127938 213230 319845 405137 639690 810274 1215411 1769809 2025685 2430822 3539618 4051370 5309427 6077055 8849045 10618854 12154110 17698090 26547135 33626371 53094270 67252742 100879113 168131855 201758226 336263710 504395565 1008791130