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83468700 = 223252713249
BaseRepresentation
bin1001111100110…
…10000110011100
312211001122112100
410332122012130
5132331444300
612141005100
72032320660
oct476320634
9184048470
1083468700
11431302a7
1223b53790
13143a6183
14b12a8a0
1574db700
hex4f9a19c

83468700 has 108 divisors (see below), whose sum is σ = 299026000. Its totient is φ = 19077120.

The previous prime is 83468659. The next prime is 83468713. The reversal of 83468700 is 786438.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 325 + ... + 12924.

Almost surely, 283468700 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 83468700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149513000).

83468700 is an abundant number, since it is smaller than the sum of its proper divisors (215557300).

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

83468700 is a wasteful number, since it uses less digits than its factorization.

83468700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13276 (or 13266 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 83468700 is about 9136.1206209200. The cubic root of 83468700 is about 437.0266117739.

The spelling of 83468700 in words is "eighty-three million, four hundred sixty-eight thousand, seven hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 3150 6300 13249 26498 39747 52996 66245 79494 92743 119241 132490 158988 185486 198735 238482 264980 278229 331225 370972 397470 463715 476964 556458 596205 662450 794940 834687 927430 993675 1112916 1192410 1324900 1391145 1669374 1854860 1987350 2318575 2384820 2782290 2981025 3338748 3974700 4173435 4637150 5564580 5962050 6955725 8346870 9274300 11924100 13911450 16693740 20867175 27822900 41734350 83468700