Search a number
-
+
89790680 = 2357476823
BaseRepresentation
bin1010101101000…
…01100011011000
320020221211122202
411112201203120
5140441300210
612524305332
72140131260
oct526414330
9206854582
1089790680
1146759081
12260a2248
13157aa8a5
14bcd47a0
157d399a5
hex55a18d8

89790680 has 64 divisors (see below), whose sum is σ = 235837440. Its totient is φ = 30125952.

The previous prime is 89790677. The next prime is 89790683. The reversal of 89790680 is 8609798.

It is an interprime number because it is at equal distance from previous prime (89790677) and next prime (89790683).

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89790683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9749 + ... + 16571.

It is an arithmetic number, because the mean of its divisors is an integer number (3684960).

Almost surely, 289790680 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 89790680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117918720).

89790680 is an abundant number, since it is smaller than the sum of its proper divisors (146046760).

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

89790680 is a wasteful number, since it uses less digits than its factorization.

89790680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6888 (or 6884 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 47.

The square root of 89790680 is about 9475.7944257988. The cubic root of 89790680 is about 447.7927799102.

The spelling of 89790680 in words is "eighty-nine million, seven hundred ninety thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 235 280 329 376 470 658 940 1316 1645 1880 2632 3290 6580 6823 13160 13646 27292 34115 47761 54584 68230 95522 136460 191044 238805 272920 320681 382088 477610 641362 955220 1282724 1603405 1910440 2244767 2565448 3206810 4489534 6413620 8979068 11223835 12827240 17958136 22447670 44895340 89790680