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1992900 = 2235271373
BaseRepresentation
bin111100110100011000100
310202020202010
413212203010
51002233100
6110414220
722640130
oct7464304
93666663
101992900
111141328
12801370
1354a140
1439c3c0
15295750
hex1e68c4

1992900 has 144 divisors (see below), whose sum is σ = 7193984. Its totient is φ = 414720.

The previous prime is 1992889. The next prime is 1992911. The reversal of 1992900 is 92991.

1992900 = 72 + 82 + ... + 1812.

1992900 is nontrivially palindromic in base 9.

It is an interprime number because it is at equal distance from previous prime (1992889) and next prime (1992911).

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 47 ways as a sum of consecutive naturals, for example, 27264 + ... + 27336.

21992900 is an apocalyptic number.

1992900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1992900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3596992).

1992900 is an abundant number, since it is smaller than the sum of its proper divisors (5201084).

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

1992900 is a wasteful number, since it uses less digits than its factorization.

1992900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 30.

The square root of 1992900 is about 1411.7011015084. The cubic root of 1992900 is about 125.8428375592.

1992900 divided by its sum of digits (30) gives a triangular number (66430 = T364).

The spelling of 1992900 in words is "one million, nine hundred ninety-two thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 25 26 28 30 35 39 42 50 52 60 65 70 73 75 78 84 91 100 105 130 140 146 150 156 175 182 195 210 219 260 273 292 300 325 350 364 365 390 420 438 455 511 525 546 650 700 730 780 876 910 949 975 1022 1050 1092 1095 1300 1365 1460 1533 1820 1825 1898 1950 2044 2100 2190 2275 2555 2730 2847 3066 3650 3796 3900 4380 4550 4745 5110 5460 5475 5694 6132 6643 6825 7300 7665 9100 9490 10220 10950 11388 12775 13286 13650 14235 15330 18980 19929 21900 23725 25550 26572 27300 28470 30660 33215 38325 39858 47450 51100 56940 66430 71175 76650 79716 94900 99645 132860 142350 153300 166075 199290 284700 332150 398580 498225 664300 996450 1992900