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142551090 = 2355115333
BaseRepresentation
bin10000111111100…
…10100000110010
3100221020100100000
420133302200302
5242443113330
622051210430
73350443563
oct1037624062
9327210300
10142551090
1173514820
123b8a6a16
13236c1576
1414d0a16a
15c7ac560
hex87f2832

142551090 has 96 divisors (see below), whose sum is σ = 419380416. Its totient is φ = 34551360.

The previous prime is 142551077. The next prime is 142551107. The reversal of 142551090 is 90155241.

142551090 is a `hidden beast` number, since 142 + 5 + 510 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 24064 + ... + 29396.

It is an arithmetic number, because the mean of its divisors is an integer number (4368546).

Almost surely, 2142551090 is an apocalyptic number.

142551090 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 142551090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209690208).

142551090 is an abundant number, since it is smaller than the sum of its proper divisors (276829326).

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

142551090 is a wasteful number, since it uses less digits than its factorization.

142551090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5366 (or 5354 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 142551090 is about 11939.4761191603. The cubic root of 142551090 is about 522.3843780091.

The spelling of 142551090 in words is "one hundred forty-two million, five hundred fifty-one thousand, ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 243 270 297 330 405 486 495 594 810 891 990 1215 1485 1782 2430 2673 2970 4455 5333 5346 8910 10666 13365 15999 26665 26730 31998 47997 53330 58663 79995 95994 117326 143991 159990 175989 239985 287982 293315 351978 431973 479970 527967 586630 719955 863946 879945 1055934 1295919 1439910 1583901 1759890 2159865 2591838 2639835 3167802 4319730 4751703 5279670 6479595 7919505 9503406 12959190 14255109 15839010 23758515 28510218 47517030 71275545 142551090