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145890690 = 235114331021
BaseRepresentation
bin10001011001000…
…01110110000010
3101011112000101220
420230201312002
5244322000230
622250535510
73421023201
oct1054416602
9334460356
10145890690
1175395920
1240a37596
13242c066a
1415539238
15cc1bd10
hex8b21d82

145890690 has 64 divisors (see below), whose sum is σ = 383225472. Its totient is φ = 35251200.

The previous prime is 145890673. The next prime is 145890697. The reversal of 145890690 is 96098541.

It is a super-2 number, since 2×1458906902 = 42568186857352200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145890697) 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 31 ways as a sum of consecutive naturals, for example, 142380 + ... + 143400.

It is an arithmetic number, because the mean of its divisors is an integer number (5987898).

Almost surely, 2145890690 is an apocalyptic number.

145890690 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 145890690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191612736).

145890690 is an abundant number, since it is smaller than the sum of its proper divisors (237334782).

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

145890690 is a wasteful number, since it uses less digits than its factorization.

145890690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475.

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 145890690 is about 12078.5218466499. The cubic root of 145890690 is about 526.4322974897.

The spelling of 145890690 in words is "one hundred forty-five million, eight hundred ninety thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 433 866 1021 1299 2042 2165 2598 3063 4330 4763 5105 6126 6495 9526 10210 11231 12990 14289 15315 22462 23815 28578 30630 33693 47630 56155 67386 71445 112310 142890 168465 336930 442093 884186 1326279 2210465 2652558 4420930 4863023 6631395 9726046 13262790 14589069 24315115 29178138 48630230 72945345 145890690