Search a number
-
+
145600620 = 2235111671321
BaseRepresentation
bin10001010110110…
…11000001101100
3101010222021111120
420223123001230
5244233204440
622240420540
73415404414
oct1053330154
9333867446
10145600620
11752079a0
1240917750
132421b619
14154a1644
15cbb0dd0
hex8adb06c

145600620 has 96 divisors (see below), whose sum is σ = 447745536. Its totient is φ = 35059200.

The previous prime is 145600607. The next prime is 145600621. The reversal of 145600620 is 26006541.

It is not an unprimeable number, because it can be changed into a prime (145600621) 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 31 ways as a sum of consecutive naturals, for example, 109560 + ... + 110880.

It is an arithmetic number, because the mean of its divisors is an integer number (4664016).

Almost surely, 2145600620 is an apocalyptic number.

145600620 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 145600620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223872768).

145600620 is an abundant number, since it is smaller than the sum of its proper divisors (302144916).

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

145600620 is a wasteful number, since it uses less digits than its factorization.

145600620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 145600620 is about 12066.5081941712. The cubic root of 145600620 is about 526.0831695848.

The spelling of 145600620 in words is "one hundred forty-five million, six hundred thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 167 220 330 334 501 660 668 835 1002 1321 1670 1837 2004 2505 2642 3340 3674 3963 5010 5284 5511 6605 7348 7926 9185 10020 11022 13210 14531 15852 18370 19815 22044 26420 27555 29062 36740 39630 43593 55110 58124 72655 79260 87186 110220 145310 174372 217965 220607 290620 435930 441214 661821 871860 882428 1103035 1323642 2206070 2426677 2647284 3309105 4412140 4853354 6618210 7280031 9706708 12133385 13236420 14560062 24266770 29120124 36400155 48533540 72800310 145600620