Search a number
-
+
147513100 = 22527359587
BaseRepresentation
bin10001100101011…
…01111100001100
3101021120102221011
420302231330030
5300230404400
622345415004
73440561230
oct1062557414
9337512834
10147513100
11762a3859
124149a464
132473ac77
141583c5c0
15ce3c8ba
hex8cadf0c

147513100 has 72 divisors (see below), whose sum is σ = 367476480. Its totient is φ = 50349120.

The previous prime is 147513077. The next prime is 147513101. The reversal of 147513100 is 1315741.

147513100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1475131002 = 43520229343220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (147513101) 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, 251007 + ... + 251593.

It is an arithmetic number, because the mean of its divisors is an integer number (5103840).

Almost surely, 2147513100 is an apocalyptic number.

147513100 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 147513100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183738240).

147513100 is an abundant number, since it is smaller than the sum of its proper divisors (219963380).

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

147513100 is a wasteful number, since it uses less digits than its factorization.

147513100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 147513100 is about 12145.4971079820. The cubic root of 147513100 is about 528.3765440371.

Adding to 147513100 its reverse (1315741), we get a palindrome (148828841).

The spelling of 147513100 in words is "one hundred forty-seven million, five hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 359 587 700 718 1174 1436 1795 2348 2513 2935 3590 4109 5026 5870 7180 8218 8975 10052 11740 12565 14675 16436 17950 20545 25130 29350 35900 41090 50260 58700 62825 82180 102725 125650 205450 210733 251300 410900 421466 842932 1053665 1475131 2107330 2950262 4214660 5268325 5900524 7375655 10536650 14751310 21073300 29502620 36878275 73756550 147513100