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146890128 = 24371123613
BaseRepresentation
bin10001100000101…
…01110110010000
3101020101210101010
420300111312100
5300100441003
622324210520
73432355050
oct1060256620
9336353333
10146890128
1175a08800
1241239a40
1324580548
1415719560
15cd68003
hex8c15d90

146890128 has 120 divisors (see below), whose sum is σ = 476816704. Its totient is φ = 38142720.

The previous prime is 146890127. The next prime is 146890129. The reversal of 146890128 is 821098641.

It is an interprime number because it is at equal distance from previous prime (146890127) and next prime (146890129).

It is not an unprimeable number, because it can be changed into a prime (146890123) 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 23 ways as a sum of consecutive naturals, for example, 38850 + ... + 42462.

Almost surely, 2146890128 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 146890128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238408352).

146890128 is an abundant number, since it is smaller than the sum of its proper divisors (329926576).

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

146890128 is a wasteful number, since it uses less digits than its factorization.

146890128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3653 (or 3636 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 146890128 is about 12119.8237610949. The cubic root of 146890128 is about 527.6316875837.

The spelling of 146890128 in words is "one hundred forty-six million, eight hundred ninety thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 121 132 154 168 176 231 242 264 308 336 363 462 484 528 616 726 847 924 968 1232 1452 1694 1848 1936 2541 2904 3388 3613 3696 5082 5808 6776 7226 10164 10839 13552 14452 20328 21678 25291 28904 39743 40656 43356 50582 57808 75873 79486 86712 101164 119229 151746 158972 173424 202328 238458 278201 303492 317944 404656 437173 476916 556402 606984 635888 834603 874346 953832 1112804 1213968 1311519 1669206 1748692 1907664 2225608 2623038 3060211 3338412 3497384 4451216 5246076 6120422 6676824 6994768 9180633 10492152 12240844 13353648 18361266 20984304 24481688 36722532 48963376 73445064 146890128