Search a number
-
+
145099760 = 245131729283
BaseRepresentation
bin10001010011000…
…00101111110000
3101010000211110012
420221200233300
5244121143020
622221554052
73411220241
oct1051405760
9333024405
10145099760
11749a5663
1240715928
13240a4660
14153b0cc8
15cb127c5
hex8a60bf0

145099760 has 160 divisors (see below), whose sum is σ = 399349440. Its totient is φ = 48513024.

The previous prime is 145099741. The next prime is 145099783. The reversal of 145099760 is 67990541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 512579 + ... + 512861.

It is an arithmetic number, because the mean of its divisors is an integer number (2495934).

Almost surely, 2145099760 is an apocalyptic number.

145099760 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 145099760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199674720).

145099760 is an abundant number, since it is smaller than the sum of its proper divisors (254249680).

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

145099760 is a wasteful number, since it uses less digits than its factorization.

145099760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 41.

The square root of 145099760 is about 12045.7361750953. The cubic root of 145099760 is about 525.4792419111.

The spelling of 145099760 in words is "one hundred forty-five million, ninety-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 29 34 40 52 58 65 68 80 85 104 116 130 136 145 170 208 221 232 260 272 283 290 340 377 442 464 493 520 566 580 680 754 884 986 1040 1105 1132 1160 1360 1415 1508 1768 1885 1972 2210 2264 2320 2465 2830 3016 3536 3679 3770 3944 4420 4528 4811 4930 5660 6032 6409 7358 7540 7888 8207 8840 9622 9860 11320 12818 14716 15080 16414 17680 18395 19244 19720 22640 24055 25636 29432 30160 32045 32828 36790 38488 39440 41035 48110 51272 58864 62543 64090 65656 73580 76976 82070 96220 102544 106691 125086 128180 131312 139519 147160 164140 192440 213382 250172 256360 279038 294320 312715 328280 384880 426764 500344 512720 533455 558076 625430 656560 697595 853528 1000688 1066910 1116152 1250860 1395190 1707056 1813747 2133820 2232304 2501720 2790380 3627494 4267640 5003440 5580760 7254988 8535280 9068735 11161520 14509976 18137470 29019952 36274940 72549880 145099760