Search a number
-
+
100153000 = 2353100153
BaseRepresentation
bin1011111100000…
…11011010101000
320222110022002101
411332003122220
5201114344000
613534343144
72324200153
oct576033250
9228408071
10100153000
1151596482
122965aab4
131799833c
14d430c9a
158bd4e6a
hex5f836a8

100153000 has 32 divisors (see below), whose sum is σ = 234360360. Its totient is φ = 40060800.

The previous prime is 100152991. The next prime is 100153003. The reversal of 100153000 is 351001.

It can be written as a sum of positive squares in 4 ways, for example, as 51236964 + 48916036 = 7158^2 + 6994^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (100153003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49077 + ... + 51076.

Almost surely, 2100153000 is an apocalyptic number.

100153000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100153000 is an abundant number, since it is smaller than the sum of its proper divisors (134207360).

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

100153000 is a wasteful number, since it uses less digits than its factorization.

100153000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100174 (or 100160 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 100153000 is about 10007.6470761113. The cubic root of 100153000 is about 464.3954837666.

The spelling of 100153000 in words is "one hundred million, one hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 100153 200306 400612 500765 801224 1001530 2003060 2503825 4006120 5007650 10015300 12519125 20030600 25038250 50076500 100153000