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142953272 = 23711217273
BaseRepresentation
bin10001000010101…
…00101100111000
3100221222210000122
420201110230320
5243044001042
622103552412
73354040250
oct1041245470
9327883018
10142953272
1173769a00
123ba5b708
1323802647
1414db2960
15c83b7d2
hex8854b38

142953272 has 144 divisors (see below), whose sum is σ = 362579280. Its totient is φ = 51701760.

The previous prime is 142953269. The next prime is 142953281. The reversal of 142953272 is 272359241.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1958228 + ... + 1958300.

Almost surely, 2142953272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142953272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181289640).

142953272 is an abundant number, since it is smaller than the sum of its proper divisors (219626008).

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

142953272 is a wasteful number, since it uses less digits than its factorization.

142953272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 110 counting only the distinct ones).

The product of its digits is 30240, while the sum is 35.

The square root of 142953272 is about 11956.3067876330. The cubic root of 142953272 is about 522.8751875911.

The spelling of 142953272 in words is "one hundred forty-two million, nine hundred fifty-three thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 56 68 73 77 88 119 121 136 146 154 187 238 242 289 292 308 374 476 484 511 578 584 616 748 803 847 952 968 1022 1156 1241 1309 1496 1606 1694 2023 2044 2057 2312 2482 2618 3179 3212 3388 4046 4088 4114 4964 5236 5621 6358 6424 6776 8092 8228 8687 8833 9928 10472 11242 12716 13651 14399 16184 16456 17374 17666 21097 22253 22484 25432 27302 28798 34748 34969 35332 42194 44506 44968 54604 57596 61831 69496 69938 70664 84388 89012 95557 109208 115192 123662 139876 147679 150161 168776 178024 191114 232067 244783 247324 279752 295358 300322 382228 464134 489566 494648 590716 600644 764456 928268 979132 1051127 1181432 1201288 1624469 1856536 1958264 2102254 2552737 3248938 4204508 5105474 6497876 8409016 10210948 12995752 17869159 20421896 35738318 71476636 142953272