Search a number
-
+
100275894 = 2351753229
BaseRepresentation
bin1011111101000…
…01011010110110
320222200112200000
411332201122312
5201132312034
613541132130
72325221355
oct576413266
9228615600
10100275894
115166a844
12296ba046
1317a0c264
14d46399c
158c0b599
hex5fa16b6

100275894 has 96 divisors (see below), whose sum is σ = 244127520. Its totient is φ = 30730752.

The previous prime is 100275893. The next prime is 100275899. The reversal of 100275894 is 498572001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100275893) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 437772 + ... + 438000.

It is an arithmetic number, because the mean of its divisors is an integer number (2542995).

Almost surely, 2100275894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100275894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122063760).

100275894 is an abundant number, since it is smaller than the sum of its proper divisors (143851626).

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

100275894 is a wasteful number, since it uses less digits than its factorization.

100275894 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 100275894 is about 10013.7851984152. The cubic root of 100275894 is about 464.5853535694.

The spelling of 100275894 in words is "one hundred million, two hundred seventy-five thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 53 54 81 102 106 153 159 162 229 243 306 318 458 459 477 486 687 901 918 954 1374 1377 1431 1802 2061 2703 2754 2862 3893 4122 4131 4293 5406 6183 7786 8109 8262 8586 11679 12137 12366 12879 16218 18549 23358 24274 24327 25758 35037 36411 37098 48654 55647 70074 72822 72981 105111 109233 111294 145962 206329 210222 218466 218943 315333 327699 412658 437886 618987 630666 655398 945999 983097 1237974 1856961 1891998 1966194 2949291 3713922 5570883 5898582 11141766 16712649 33425298 50137947 100275894