Search a number
-
+
98430024 = 23373111087
BaseRepresentation
bin1011101110111…
…10110001001000
320212012202121110
411313132301020
5200144230044
613433410320
72303433000
oct567366110
9225182543
1098430024
1150619a30
1228b699a0
1317514024
14d103000
1589946b9
hex5ddec48

98430024 has 128 divisors (see below), whose sum is σ = 313344000. Its totient is φ = 25542720.

The previous prime is 98430001. The next prime is 98430029. The reversal of 98430024 is 42003489.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 98429973 and 98430000.

It is not an unprimeable number, because it can be changed into a prime (98430029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90009 + ... + 91095.

It is an arithmetic number, because the mean of its divisors is an integer number (2448000).

Almost surely, 298430024 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 98430024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156672000).

98430024 is an abundant number, since it is smaller than the sum of its proper divisors (214913976).

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

98430024 is a wasteful number, since it uses less digits than its factorization.

98430024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 98430024 is about 9921.1906543519. The cubic root of 98430024 is about 461.7169983978.

The spelling of 98430024 in words is "ninety-eight million, four hundred thirty thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 132 147 154 168 196 231 264 294 308 343 392 462 539 588 616 686 924 1029 1078 1087 1176 1372 1617 1848 2058 2156 2174 2744 3234 3261 3773 4116 4312 4348 6468 6522 7546 7609 8232 8696 11319 11957 12936 13044 15092 15218 22638 22827 23914 26088 30184 30436 35871 45276 45654 47828 53263 60872 71742 83699 90552 91308 95656 106526 143484 159789 167398 182616 213052 251097 286968 319578 334796 372841 426104 502194 585893 639156 669592 745682 1004388 1118523 1171786 1278312 1491364 1757679 2008776 2237046 2343572 2982728 3515358 4101251 4474092 4687144 7030716 8202502 8948184 12303753 14061432 16405004 24607506 32810008 49215012 98430024