Search a number
-
+
99964704 = 2537279269
BaseRepresentation
bin1011111010101…
…01011100100000
320222002201210110
411331111130200
5201042332304
613530331320
72322454200
oct575253440
9228081713
1099964704
1151477a64
1229589b40
1317930718
14d3c2400
158b99289
hex5f55720

99964704 has 144 divisors (see below), whose sum is σ = 310262400. Its totient is φ = 28094976.

The previous prime is 99964699. The next prime is 99964717. The reversal of 99964704 is 40746999.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 371482 + ... + 371750.

It is an arithmetic number, because the mean of its divisors is an integer number (2154600).

Almost surely, 299964704 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 99964704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155131200).

99964704 is an abundant number, since it is smaller than the sum of its proper divisors (210297696).

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

99964704 is a wasteful number, since it uses less digits than its factorization.

99964704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 99964704 is about 9998.2350442466. The cubic root of 99964704 is about 464.1042670952.

It can be divided in two parts, 999 and 64704, that added together give a triangular number (65703 = T362).

The spelling of 99964704 in words is "ninety-nine million, nine hundred sixty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 79 84 96 98 112 147 158 168 196 224 237 269 294 316 336 392 474 538 553 588 632 672 784 807 948 1076 1106 1176 1264 1568 1614 1659 1883 1896 2152 2212 2352 2528 3228 3318 3766 3792 3871 4304 4424 4704 5649 6456 6636 7532 7584 7742 8608 8848 11298 11613 12912 13181 13272 15064 15484 17696 21251 22596 23226 25824 26362 26544 30128 30968 39543 42502 45192 46452 52724 53088 60256 61936 63753 79086 85004 90384 92904 105448 123872 127506 148757 158172 170008 180768 185808 210896 255012 297514 316344 340016 371616 421792 446271 510024 595028 632688 680032 892542 1020048 1041299 1190056 1265376 1785084 2040096 2082598 2380112 3123897 3570168 4165196 4760224 6247794 7140336 8330392 12495588 14280672 16660784 24991176 33321568 49982352 99964704