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144956620 = 22517231809
BaseRepresentation
bin10001010001111…
…01110011001100
3101002202120002201
420220331303030
5244102102440
622214531244
73410053024
oct1050756314
9332676081
10144956620
1174908066
1240666b24
1324054463
1415374a84
15cad519a
hex8a3dccc

144956620 has 72 divisors (see below), whose sum is σ = 334212480. Its totient is φ = 52746240.

The previous prime is 144956597. The next prime is 144956621. The reversal of 144956620 is 26659441.

144956620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 144956620.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144956621) 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, 178776 + ... + 179584.

It is an arithmetic number, because the mean of its divisors is an integer number (4641840).

Almost surely, 2144956620 is an apocalyptic number.

144956620 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 144956620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167106240).

144956620 is an abundant number, since it is smaller than the sum of its proper divisors (189255860).

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

144956620 is a wasteful number, since it uses less digits than its factorization.

144956620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 144956620 is about 12039.7931875926. The cubic root of 144956620 is about 525.3063910716.

It can be divided in two parts, 14495 and 6620, that added together give a triangular number (21115 = T205).

The spelling of 144956620 in words is "one hundred forty-four million, nine hundred fifty-six thousand, six hundred twenty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 124 155 170 289 310 340 527 578 620 809 1054 1156 1445 1618 2108 2635 2890 3236 4045 5270 5780 8090 8959 10540 13753 16180 17918 25079 27506 35836 44795 50158 55012 68765 89590 100316 125395 137530 179180 233801 250790 275060 426343 467602 501580 852686 935204 1169005 1705372 2131715 2338010 4263430 4676020 7247831 8526860 14495662 28991324 36239155 72478310 144956620