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150630700 = 225211373701
BaseRepresentation
bin10001111101001…
…11000100101100
3101111102211110211
420332213010230
5302030140300
622540312204
73506224363
oct1076470454
9344384424
10150630700
1178033090
1242542664
132528ccbc
14160107da
15d3564ba
hex8fa712c

150630700 has 72 divisors (see below), whose sum is σ = 366320304. Its totient is φ = 53280000.

The previous prime is 150630691. The next prime is 150630707. The reversal of 150630700 is 7036051.

150630700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (150630707) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38850 + ... + 42550.

It is an arithmetic number, because the mean of its divisors is an integer number (5087782).

Almost surely, 2150630700 is an apocalyptic number.

150630700 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 150630700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183160152).

150630700 is an abundant number, since it is smaller than the sum of its proper divisors (215689604).

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

150630700 is a wasteful number, since it uses less digits than its factorization.

150630700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3763 (or 3756 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 150630700 is about 12273.1699246772. The cubic root of 150630700 is about 532.0729308123.

150630700 divided by its sum of digits (22) gives a triangular number (6846850 = T3700).

Adding to 150630700 its reverse (7036051), we get a palindrome (157666751).

The spelling of 150630700 in words is "one hundred fifty million, six hundred thirty thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 37 44 50 55 74 100 110 148 185 220 275 370 407 550 740 814 925 1100 1628 1850 2035 3700 3701 4070 7402 8140 10175 14804 18505 20350 37010 40700 40711 74020 81422 92525 136937 162844 185050 203555 273874 370100 407110 547748 684685 814220 1017775 1369370 1506307 2035550 2738740 3012614 3423425 4071100 6025228 6846850 7531535 13693700 15063070 30126140 37657675 75315350 150630700