Search a number
-
+
99904410 = 232517223167
BaseRepresentation
bin1011111010001…
…10101110011010
320221222200002100
411331012232122
5201033420120
613525144230
72322113334
oct575065632
9227880070
1099904410
1151436731
122955b076
131790c148
14d3a8454
158b86490
hex5f46b9a

99904410 has 144 divisors (see below), whose sum is σ = 289650816. Its totient is φ = 23840256.

The previous prime is 99904367. The next prime is 99904411. The reversal of 99904410 is 1440999.

It is a super-2 number, since 2×999044102 = 19961782274896200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99904411) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 598147 + ... + 598313.

It is an arithmetic number, because the mean of its divisors is an integer number (2011464).

Almost surely, 299904410 is an apocalyptic number.

99904410 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 99904410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144825408).

99904410 is an abundant number, since it is smaller than the sum of its proper divisors (189746406).

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

99904410 is a wasteful number, since it uses less digits than its factorization.

99904410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 99904410 is about 9995.2193572728. The cubic root of 99904410 is about 464.0109397193.

It can be divided in two parts, 9990 and 4410, that added together give a square (14400 = 1202).

The spelling of 99904410 in words is "ninety-nine million, nine hundred four thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 23 30 34 45 46 51 69 85 90 102 115 138 153 167 170 207 230 255 289 306 334 345 391 414 501 510 578 690 765 782 835 867 1002 1035 1173 1445 1503 1530 1670 1734 1955 2070 2346 2505 2601 2839 2890 3006 3519 3841 3910 4335 5010 5202 5678 5865 6647 7038 7515 7682 8517 8670 11523 11730 13005 13294 14195 15030 17034 17595 19205 19941 23046 25551 26010 28390 33235 34569 35190 38410 39882 42585 48263 51102 57615 59823 65297 66470 69138 85170 96526 99705 115230 119646 127755 130594 144789 172845 195891 199410 241315 255510 289578 299115 326485 345690 391782 434367 482630 587673 598230 652970 723945 868734 979455 1110049 1175346 1447890 1958910 2171835 2220098 2938365 3330147 4343670 5550245 5876730 6660294 9990441 11100490 16650735 19980882 33301470 49952205 99904410