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145878390 = 232572191741
BaseRepresentation
bin10001011000111…
…10110101110110
3101011111101112100
420230132311312
5244321102030
622250402530
73420642300
oct1054366566
9334441470
10145878390
1175387659
1240a30446
13242b7b98
1415534970
15cc18360
hex8b1ed76

145878390 has 144 divisors (see below), whose sum is σ = 464695920. Its totient is φ = 31570560.

The previous prime is 145878361. The next prime is 145878407. The reversal of 145878390 is 93878541.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82920 + ... + 84660.

It is an arithmetic number, because the mean of its divisors is an integer number (3227055).

Almost surely, 2145878390 is an apocalyptic number.

145878390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145878390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232347960).

145878390 is an abundant number, since it is smaller than the sum of its proper divisors (318817530).

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

145878390 is a wasteful number, since it uses less digits than its factorization.

145878390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 145878390 is about 12078.0126676536. The cubic root of 145878390 is about 526.4175026246.

The spelling of 145878390 in words is "one hundred forty-five million, eight hundred seventy-eight thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 30 35 38 42 45 49 57 63 70 90 95 98 105 114 126 133 147 171 190 210 245 266 285 294 315 342 399 441 490 570 630 665 735 798 855 882 931 1197 1330 1470 1710 1741 1862 1995 2205 2394 2793 3482 3990 4410 4655 5223 5586 5985 8379 8705 9310 10446 11970 12187 13965 15669 16758 17410 24374 26115 27930 31338 33079 36561 41895 52230 60935 66158 73122 78345 83790 85309 99237 109683 121870 156690 165395 170618 182805 198474 219366 231553 255927 297711 330790 365610 426545 463106 496185 511854 548415 595422 694659 767781 853090 992370 1096830 1157765 1279635 1389318 1488555 1535562 1620871 2083977 2315530 2559270 2977110 3241742 3473295 3838905 4167954 4862613 6946590 7677810 8104355 9725226 10419885 14587839 16208710 20839770 24313065 29175678 48626130 72939195 145878390