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142057950 = 235217229113
BaseRepresentation
bin10000111011110…
…10000111011110
3100220022021212120
420131322013132
5242331323300
622032443410
73343321056
oct1035720736
9326267776
10142057950
1173208271
123b6a9566
132357ac78
1414c1c566
15c7113a0
hex877a1de

142057950 has 144 divisors (see below), whose sum is σ = 390577680. Its totient is φ = 34119680.

The previous prime is 142057943. The next prime is 142057957. The reversal of 142057950 is 59750241.

It is an interprime number because it is at equal distance from previous prime (142057943) and next prime (142057957).

It is a super-2 number, since 2×1420579502 = 40360922316405000, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142057957) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1257094 + ... + 1257206.

It is an arithmetic number, because the mean of its divisors is an integer number (2712345).

Almost surely, 2142057950 is an apocalyptic number.

142057950 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 142057950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195288840).

142057950 is an abundant number, since it is smaller than the sum of its proper divisors (248519730).

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

142057950 is a wasteful number, since it uses less digits than its factorization.

142057950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 142057950 is about 11918.8065677735. The cubic root of 142057950 is about 521.7813047279.

It can be divided in two parts, 14205 and 7950, that added together give a triangular number (22155 = T210).

The spelling of 142057950 in words is "one hundred forty-two million, fifty-seven thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 29 30 34 50 51 58 75 85 87 102 113 145 150 170 174 226 255 289 290 339 425 435 493 510 565 578 678 725 850 867 870 986 1130 1275 1445 1450 1479 1695 1734 1921 2175 2465 2550 2825 2890 2958 3277 3390 3842 4335 4350 4930 5650 5763 6554 7225 7395 8381 8475 8670 9605 9831 11526 12325 14450 14790 16385 16762 16950 19210 19662 21675 24650 25143 28815 32657 32770 36975 41905 43350 48025 49155 50286 55709 57630 65314 73950 81925 83810 96050 97971 98310 111418 125715 144075 163285 163850 167127 195942 209525 245775 251430 278545 288150 326570 334254 419050 489855 491550 557090 628575 816425 835635 947053 979710 1257150 1392725 1632850 1671270 1894106 2449275 2785450 2841159 4178175 4735265 4898550 5682318 8356350 9470530 14205795 23676325 28411590 47352650 71028975 142057950