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142693992 = 23327319133
BaseRepresentation
bin10001000000101…
…01011001101000
3100221111121100200
420200111121220
5243012201432
622054232200
73351610320
oct1040253150
9327447320
10142693992
1173602121
123b955660
132374161c
1414d46280
15c7d9a7c
hex8815668

142693992 has 96 divisors (see below), whose sum is σ = 455969280. Its totient is φ = 39450240.

The previous prime is 142693979. The next prime is 142693997. The reversal of 142693992 is 299396241.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142693997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11058 + ... + 20190.

It is an arithmetic number, because the mean of its divisors is an integer number (4749680).

Almost surely, 2142693992 is an apocalyptic number.

142693992 is a gapful number since it is divisible by the number (12) 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 142693992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227984640).

142693992 is an abundant number, since it is smaller than the sum of its proper divisors (313275288).

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

142693992 is a wasteful number, since it uses less digits than its factorization.

142693992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9183 (or 9176 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 142693992 is about 11945.4590535483. The cubic root of 142693992 is about 522.5588764801.

The spelling of 142693992 in words is "one hundred forty-two million, six hundred ninety-three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 868 1116 1302 1736 1953 2232 2604 3906 5208 7812 9133 15624 18266 27399 36532 54798 63931 73064 82197 109596 127862 164394 191793 219192 255724 283123 328788 383586 511448 566246 575379 657576 767172 849369 1132492 1150758 1534344 1698738 1981861 2264984 2301516 2548107 3397476 3963722 4603032 5096214 5945583 6794952 7927444 10192428 11891166 15854888 17836749 20384856 23782332 35673498 47564664 71346996 142693992