Search a number
-
+
142145520 = 243511232341
BaseRepresentation
bin10000111100011…
…11011111110000
3100220110201222220
420132033133300
5242342124040
622034401040
73344134266
oct1036173760
9326421886
10142145520
1173268040
123b730180
13235aba9a
1414c42436
15c72c2d0
hex878f7f0

142145520 has 160 divisors (see below), whose sum is σ = 501825024. Its totient is φ = 32947200.

The previous prime is 142145513. The next prime is 142145533. The reversal of 142145520 is 25541241.

142145520 = T233 + T234 + ... + T952.

142145520 = 24752 + 24762 + ... + 24972.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 59550 + ... + 61890.

Almost surely, 2142145520 is an apocalyptic number.

142145520 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 142145520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250912512).

142145520 is an abundant number, since it is smaller than the sum of its proper divisors (359679504).

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

142145520 is a wasteful number, since it uses less digits than its factorization.

142145520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2391 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 142145520 is about 11922.4796078668. The cubic root of 142145520 is about 521.8884980792. Note that the first 3 decimals are identical.

Adding to 142145520 its reverse (25541241), we get a palindrome (167686761).

The spelling of 142145520 in words is "one hundred forty-two million, one hundred forty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 23 24 30 33 40 44 46 48 55 60 66 69 80 88 92 110 115 120 132 138 165 176 184 220 230 240 253 264 276 330 345 368 440 460 506 528 552 660 690 759 880 920 1012 1104 1265 1320 1380 1518 1840 2024 2341 2530 2640 2760 3036 3795 4048 4682 5060 5520 6072 7023 7590 9364 10120 11705 12144 14046 15180 18728 20240 23410 25751 28092 30360 35115 37456 46820 51502 53843 56184 60720 70230 77253 93640 103004 107686 112368 128755 140460 154506 161529 187280 206008 215372 257510 269215 280920 309012 323058 386265 412016 430744 515020 538430 561840 592273 618024 646116 772530 807645 861488 1030040 1076860 1184546 1236048 1292232 1545060 1615290 1776819 2060080 2153720 2369092 2584464 2961365 3090120 3230580 3553638 4307440 4738184 5922730 6180240 6461160 7107276 8884095 9476368 11845460 12922320 14214552 17768190 23690920 28429104 35536380 47381840 71072760 142145520