Search a number
-
+
100250640 = 24325719891
BaseRepresentation
bin1011111100110…
…11010000010000
320222122021000200
411332123100100
5201131010030
613540415200
72325054630
oct576332020
9228567020
10100250640
1151652876
12296a7500
1317a00909
14d4586c0
158c03d60
hex5f9b410

100250640 has 120 divisors (see below), whose sum is σ = 384790848. Its totient is φ = 22913280.

The previous prime is 100250639. The next prime is 100250641. The reversal of 100250640 is 46052001.

It is a happy number.

100250640 is a `hidden beast` number, since 1 + 0 + 0 + 25 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (100250639) and next prime (100250641).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100250641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4906 + ... + 14985.

Almost surely, 2100250640 is an apocalyptic number.

100250640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100250640 is an abundant number, since it is smaller than the sum of its proper divisors (284540208).

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

100250640 is a wasteful number, since it uses less digits than its factorization.

100250640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19917 (or 19908 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 100250640 is about 10012.5241572742. The cubic root of 100250640 is about 464.5463491017.

The spelling of 100250640 in words is "one hundred million, two hundred fifty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 19891 39782 59673 79564 99455 119346 139237 159128 179019 198910 238692 278474 298365 318256 358038 397820 417711 477384 556948 596730 696185 716076 795640 835422 895095 954768 1113896 1193460 1253133 1392370 1432152 1591280 1670844 1790190 2088555 2227792 2386920 2506266 2784740 2864304 3341688 3580380 4177110 4773840 5012532 5569480 6265665 6683376 7160760 8354220 10025064 11138960 12531330 14321520 16708440 20050128 25062660 33416880 50125320 100250640