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142170960 = 24353197197
BaseRepresentation
bin10000111100101…
…01101101010000
3100220112000220010
420132111231100
5242343432320
622035114520
73344301411
oct1036255520
9326460803
10142170960
1173285168
123b742a40
13235ba539
1414c4b808
15c734ae0
hex8795b50

142170960 has 160 divisors (see below), whose sum is σ = 461970432. Its totient is φ = 36126720.

The previous prime is 142170893. The next prime is 142170967. The reversal of 142170960 is 69071241.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142170967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 721582 + ... + 721778.

Almost surely, 2142170960 is an apocalyptic number.

142170960 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 142170960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230985216).

142170960 is an abundant number, since it is smaller than the sum of its proper divisors (319799472).

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

142170960 is a wasteful number, since it uses less digits than its factorization.

142170960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 142170960 is about 11923.5464522935. The cubic root of 142170960 is about 521.9196306148.

The spelling of 142170960 in words is "one hundred forty-two million, one hundred seventy thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 97 120 124 155 186 194 197 240 248 291 310 372 388 394 465 485 496 582 591 620 744 776 788 930 970 985 1164 1182 1240 1455 1488 1552 1576 1860 1940 1970 2328 2364 2480 2910 2955 3007 3152 3720 3880 3940 4656 4728 5820 5910 6014 6107 7440 7760 7880 9021 9456 11640 11820 12028 12214 15035 15760 18042 18321 19109 23280 23640 24056 24428 30070 30535 36084 36642 38218 45105 47280 48112 48856 57327 60140 61070 72168 73284 76436 90210 91605 95545 97712 114654 120280 122140 144336 146568 152872 180420 183210 191090 229308 240560 244280 286635 293136 305744 360840 366420 382180 458616 488560 573270 592379 721680 732840 764360 917232 1146540 1184758 1465680 1528720 1777137 2293080 2369516 2961895 3554274 4586160 4739032 5923790 7108548 8885685 9478064 11847580 14217096 17771370 23695160 28434192 35542740 47390320 71085480 142170960