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145260570 = 23571324093
BaseRepresentation
bin10001010100010…
…00000000011010
3101010100000001010
420222020000122
5244141314240
622225234350
73412460130
oct1052100032
9333300033
10145260570
1174aa5464
12407929b6
132412c900
1415413750
15cb45280
hex8a8801a

145260570 has 96 divisors (see below), whose sum is σ = 431540352. Its totient is φ = 30640896.

The previous prime is 145260551. The next prime is 145260589. The reversal of 145260570 is 75062541.

It is an interprime number because it is at equal distance from previous prime (145260551) and next prime (145260589).

It is a super-2 number, since 2×1452605702 = 42201266393449800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33444 + ... + 37536.

It is an arithmetic number, because the mean of its divisors is an integer number (4495212).

Almost surely, 2145260570 is an apocalyptic number.

145260570 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 145260570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215770176).

145260570 is an abundant number, since it is smaller than the sum of its proper divisors (286279782).

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

145260570 is a wasteful number, since it uses less digits than its factorization.

145260570 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4136 (or 4123 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 145260570 is about 12052.4093027079. The cubic root of 145260570 is about 525.6732948829.

The spelling of 145260570 in words is "one hundred forty-five million, two hundred sixty thousand, five hundred seventy".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 169 182 195 210 273 338 390 455 507 546 845 910 1014 1183 1365 1690 2366 2535 2730 3549 4093 5070 5915 7098 8186 11830 12279 17745 20465 24558 28651 35490 40930 53209 57302 61395 85953 106418 122790 143255 159627 171906 266045 286510 319254 372463 429765 532090 691717 744926 798135 859530 1117389 1383434 1596270 1862315 2075151 2234778 3458585 3724630 4150302 4842019 5586945 6917170 9684038 10375755 11173890 14526057 20751510 24210095 29052114 48420190 72630285 145260570