Search a number
-
+
96378700 = 225211412137
BaseRepresentation
bin1011011111010…
…01111101001100
320201100112201111
411233221331030
5144133104300
613321421404
72250130315
oct557517514
9221315644
1096378700
114a448820
122833a864
1316c76422
14cb2b60c
1586db9ba
hex5be9f4c

96378700 has 72 divisors (see below), whose sum is σ = 233828784. Its totient is φ = 34176000.

The previous prime is 96378691. The next prime is 96378707. The reversal of 96378700 is 787369.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96378707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44032 + ... + 46168.

It is an arithmetic number, because the mean of its divisors is an integer number (3247622).

Almost surely, 296378700 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 96378700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116914392).

96378700 is an abundant number, since it is smaller than the sum of its proper divisors (137450084).

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

96378700 is a wasteful number, since it uses less digits than its factorization.

96378700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 96378700 is about 9817.2654033595. The cubic root of 96378700 is about 458.4869949420.

The spelling of 96378700 in words is "ninety-six million, three hundred seventy-eight thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 110 164 205 220 275 410 451 550 820 902 1025 1100 1804 2050 2137 2255 4100 4274 4510 8548 9020 10685 11275 21370 22550 23507 42740 45100 47014 53425 87617 94028 106850 117535 175234 213700 235070 350468 438085 470140 587675 876170 963787 1175350 1752340 1927574 2190425 2350700 3855148 4380850 4818935 8761700 9637870 19275740 24094675 48189350 96378700