Search a number
-
+
145154760 = 233541163181
BaseRepresentation
bin10001010011011…
…10001011001000
3101010010121220020
420221232023020
5244124423020
622223100440
73411536502
oct1051561310
9333117806
10145154760
1174a32a13
1240741720
13240c36ba
14153c6d72
15cb23c40
hex8a6e2c8

145154760 has 128 divisors (see below), whose sum is σ = 451301760. Its totient is φ = 37324800.

The previous prime is 145154759. The next prime is 145154761. The reversal of 145154760 is 67451541.

It is an interprime number because it is at equal distance from previous prime (145154759) and next prime (145154761).

It is not an unprimeable number, because it can be changed into a prime (145154761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 801870 + ... + 802050.

It is an arithmetic number, because the mean of its divisors is an integer number (3525795).

Almost surely, 2145154760 is an apocalyptic number.

145154760 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 145154760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225650880).

145154760 is an abundant number, since it is smaller than the sum of its proper divisors (306147000).

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

145154760 is a wasteful number, since it uses less digits than its factorization.

145154760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 145154760 is about 12048.0189242879. The cubic root of 145154760 is about 525.5456277489.

The spelling of 145154760 in words is "one hundred forty-five million, one hundred fifty-four thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 163 164 181 205 246 326 328 362 410 489 492 543 615 652 724 815 820 905 978 984 1086 1230 1304 1448 1630 1640 1810 1956 2172 2445 2460 2715 3260 3620 3912 4344 4890 4920 5430 6520 6683 7240 7421 9780 10860 13366 14842 19560 20049 21720 22263 26732 29503 29684 33415 37105 40098 44526 53464 59006 59368 66830 74210 80196 88509 89052 100245 111315 118012 133660 147515 148420 160392 177018 178104 200490 222630 236024 267320 295030 296840 354036 400980 442545 445260 590060 708072 801960 885090 890520 1180120 1209623 1770180 2419246 3540360 3628869 4838492 6048115 7257738 9676984 12096230 14515476 18144345 24192460 29030952 36288690 48384920 72577380 145154760