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145253420 = 225134211327
BaseRepresentation
bin10001010100001…
…10010000101100
3101010022122020022
420222012100230
5244141102140
622225141312
73412430234
oct1052062054
9333278208
10145253420
1174aa0054
124078a838
1324129590
1415410cc4
15cb430b5
hex8a8642c

145253420 has 48 divisors (see below), whose sum is σ = 329524608. Its totient is φ = 53464320.

The previous prime is 145253413. The next prime is 145253497. The reversal of 145253420 is 24352541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 145253420.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108797 + ... + 110123.

It is an arithmetic number, because the mean of its divisors is an integer number (6865096).

Almost surely, 2145253420 is an apocalyptic number.

145253420 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 145253420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164762304).

145253420 is an abundant number, since it is smaller than the sum of its proper divisors (184271188).

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

145253420 is a wasteful number, since it uses less digits than its factorization.

145253420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 145253420 is about 12052.1126778669. The cubic root of 145253420 is about 525.6646698635.

It can be divided in two parts, 1452 and 53420, that added together give a cube (54872 = 383).

The spelling of 145253420 in words is "one hundred forty-five million, two hundred fifty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 421 842 1327 1684 2105 2654 4210 5308 5473 6635 8420 10946 13270 17251 21892 26540 27365 34502 54730 69004 86255 109460 172510 345020 558667 1117334 2234668 2793335 5586670 7262671 11173340 14525342 29050684 36313355 72626710 145253420