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142077402 = 23419311489
BaseRepresentation
bin10000111011111…
…10110111011010
3100220100021120000
420131332313122
5242332434102
622033113430
73343431555
oct1035766732
9326307500
10142077402
1173220945
123b6b8876
1323586a8c
1414c2569c
15c71701c
hex877edda

142077402 has 80 divisors (see below), whose sum is σ = 346156800. Its totient is φ = 43390080.

The previous prime is 142077401. The next prime is 142077427. The reversal of 142077402 is 204770241.

It is a happy number.

It is a super-3 number, since 3×1420774023 (a number of 25 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (142077401) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 94674 + ... + 96162.

It is an arithmetic number, because the mean of its divisors is an integer number (4326960).

Almost surely, 2142077402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142077402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173078400).

142077402 is an abundant number, since it is smaller than the sum of its proper divisors (204079398).

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

142077402 is a wasteful number, since it uses less digits than its factorization.

142077402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 142077402 is about 11919.6225611384. The cubic root of 142077402 is about 521.8051194849.

It can be divided in two parts, 14207 and 7402, that added together give a square (21609 = 1472).

The spelling of 142077402 in words is "one hundred forty-two million, seventy-seven thousand, four hundred two".

Divisors: 1 2 3 6 9 18 19 27 31 38 54 57 62 81 93 114 162 171 186 279 342 513 558 589 837 1026 1178 1489 1539 1674 1767 2511 2978 3078 3534 4467 5022 5301 8934 10602 13401 15903 26802 28291 31806 40203 46159 47709 56582 80406 84873 92318 95418 120609 138477 169746 241218 254619 276954 415431 509238 763857 830862 877021 1246293 1527714 1754042 2291571 2492586 2631063 3738879 4583142 5262126 7477758 7893189 15786378 23679567 47359134 71038701 142077402