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94980420 = 2232547103109
BaseRepresentation
bin1011010100101…
…00100101000100
320121201111122100
411222110211010
5143303333140
613231432100
72232214563
oct552244504
9217644570
1094980420
1149683217
1227985630
13168a6b42
14c885bda
158512530
hex5a94944

94980420 has 144 divisors (see below), whose sum is σ = 299819520. Its totient is φ = 24323328.

The previous prime is 94980419. The next prime is 94980427. The reversal of 94980420 is 2408949.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (94980427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 871326 + ... + 871434.

It is an arithmetic number, because the mean of its divisors is an integer number (2082080).

Almost surely, 294980420 is an apocalyptic number.

94980420 is a gapful number since it is divisible by the number (90) 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 94980420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149909760).

94980420 is an abundant number, since it is smaller than the sum of its proper divisors (204839100).

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

94980420 is a wasteful number, since it uses less digits than its factorization.

94980420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 94980420 is about 9745.7898602422. The cubic root of 94980420 is about 456.2589134432.

The spelling of 94980420 in words is "ninety-four million, nine hundred eighty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 103 109 141 180 188 206 218 235 282 309 327 412 423 436 470 515 545 564 618 654 705 846 927 940 981 1030 1090 1236 1308 1410 1545 1635 1692 1854 1962 2060 2115 2180 2820 3090 3270 3708 3924 4230 4635 4841 4905 5123 6180 6540 8460 9270 9682 9810 10246 11227 14523 15369 18540 19364 19620 20492 22454 24205 25615 29046 30738 33681 43569 44908 46107 48410 51230 56135 58092 61476 67362 72615 76845 87138 92214 96820 101043 102460 112270 134724 145230 153690 168405 174276 184428 202086 217845 224540 230535 290460 307380 336810 404172 435690 461070 505215 527669 673620 871380 922140 1010430 1055338 1583007 2020860 2110676 2638345 3166014 4749021 5276690 6332028 7915035 9498042 10553380 15830070 18996084 23745105 31660140 47490210 94980420