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145016300 = 2252111310141
BaseRepresentation
bin10001010010011…
…00010111101100
3101002212120222002
420221030113230
5244111010200
622220111432
73410422022
oct1051142754
9332776862
10145016300
1174948990
1240695578
1324075680
141538c712
15cae7bd5
hex8a4c5ec

145016300 has 72 divisors (see below), whose sum is σ = 369736752. Its totient is φ = 48672000.

The previous prime is 145016251. The next prime is 145016317. The reversal of 145016300 is 3610541.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9230 + ... + 19370.

Almost surely, 2145016300 is an apocalyptic number.

145016300 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 145016300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184868376).

145016300 is an abundant number, since it is smaller than the sum of its proper divisors (224720452).

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

145016300 is a wasteful number, since it uses less digits than its factorization.

145016300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10179 (or 10172 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 145016300 is about 12042.2713804332. The cubic root of 145016300 is about 525.3784723697.

Adding to 145016300 its reverse (3610541), we get a palindrome (148626841).

The spelling of 145016300 in words is "one hundred forty-five million, sixteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 220 260 275 286 325 550 572 650 715 1100 1300 1430 2860 3575 7150 10141 14300 20282 40564 50705 101410 111551 131833 202820 223102 253525 263666 446204 507050 527332 557755 659165 1014100 1115510 1318330 1450163 2231020 2636660 2788775 2900326 3295825 5577550 5800652 6591650 7250815 11155100 13183300 14501630 29003260 36254075 72508150 145016300