Search a number
-
+
100474000 = 2453114567
BaseRepresentation
bin1011111110100…
…01110010010000
321000001121102021
411333101302100
5201210132000
613545301224
72330005054
oct577216220
9230047367
10100474000
1151795670
1229794814
1317a7b493
14d4b5c64
158c4a11a
hex5fd1c90

100474000 has 80 divisors (see below), whose sum is σ = 265090176. Its totient is φ = 36528000.

The previous prime is 100473973. The next prime is 100474013. The reversal of 100474000 is 474001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19717 + ... + 24283.

Almost surely, 2100474000 is an apocalyptic number.

100474000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100474000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132545088).

100474000 is an abundant number, since it is smaller than the sum of its proper divisors (164616176).

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

100474000 is a wasteful number, since it uses less digits than its factorization.

100474000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4601 (or 4585 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 100474000 is about 10023.6719818637. The cubic root of 100474000 is about 464.8910987125.

Subtracting from 100474000 its reverse (474001), we obtain a palindrome (99999999).

The spelling of 100474000 in words is "one hundred million, four hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 4567 5500 9134 11000 18268 22000 22835 36536 45670 50237 73072 91340 100474 114175 182680 200948 228350 251185 365360 401896 456700 502370 570875 803792 913400 1004740 1141750 1255925 1826800 2009480 2283500 2511850 4018960 4567000 5023700 6279625 9134000 10047400 12559250 20094800 25118500 50237000 100474000