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142929696 = 25371316361
BaseRepresentation
bin10001000010011…
…10111100100000
3100221221120200110
420201032330200
5243042222241
622103251320
73353611440
oct1041167440
9327846613
10142929696
1173753218
123ba49b40
13237c49b0
1414da8120
15c834816
hex884ef20

142929696 has 96 divisors (see below), whose sum is σ = 461801088. Its totient is φ = 37693440.

The previous prime is 142929671. The next prime is 142929697. The reversal of 142929696 is 696929241.

142929696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142929697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 556 + ... + 16916.

It is an arithmetic number, because the mean of its divisors is an integer number (4810428).

Almost surely, 2142929696 is an apocalyptic number.

142929696 is a gapful number since it is divisible by the number (16) 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 142929696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230900544).

142929696 is an abundant number, since it is smaller than the sum of its proper divisors (318871392).

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

142929696 is a wasteful number, since it uses less digits than its factorization.

142929696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16394 (or 16386 counting only the distinct ones).

The product of its digits is 419904, while the sum is 48.

The square root of 142929696 is about 11955.3208238006. The cubic root of 142929696 is about 522.8464416404.

It can be divided in two parts, 1429 and 29696, that added together give a triangular number (31125 = T249).

The spelling of 142929696 in words is "one hundred forty-two million, nine hundred twenty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 8736 16361 32722 49083 65444 98166 114527 130888 196332 212693 229054 261776 343581 392664 425386 458108 523552 638079 687162 785328 850772 916216 1276158 1374324 1488851 1570656 1701544 1832432 2552316 2748648 2977702 3403088 3664864 4466553 5104632 5497296 5955404 6806176 8933106 10209264 10994592 11910808 17866212 20418528 23821616 35732424 47643232 71464848 142929696