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146000008 = 237411691
BaseRepresentation
bin10001011001111…
…00100010001000
3101011201120100201
420230330202020
5244334000013
622253141544
73421660000
oct1054744210
9334646321
10146000008
117545aa70
1240a8a8b4
132432b34b
1415567000
15cc3e3dd
hex8b3c888

146000008 has 80 divisors (see below), whose sum is σ = 348892560. Its totient is φ = 56800800.

The previous prime is 145999999. The next prime is 146000017. The reversal of 146000008 is 800000641.

It is an interprime number because it is at equal distance from previous prime (145999999) and next prime (146000017).

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 19 ways as a sum of consecutive naturals, for example, 210943 + ... + 211633.

It is an arithmetic number, because the mean of its divisors is an integer number (4361157).

Almost surely, 2146000008 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 146000008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174446280).

146000008 is an abundant number, since it is smaller than the sum of its proper divisors (202892552).

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

146000008 is an equidigital number, since it uses as much as digits as its factorization.

146000008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 146000008 is about 12083.0463046369. The cubic root of 146000008 is about 526.5637524347.

Adding to 146000008 its reverse (800000641), we get a palindrome (946000649).

The spelling of 146000008 in words is "one hundred forty-six million, eight", and thus it is an aban number.

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 154 196 308 343 392 539 616 686 691 1078 1372 1382 2156 2401 2744 2764 3773 4312 4802 4837 5528 7546 7601 9604 9674 15092 15202 19208 19348 26411 30184 30404 33859 38696 52822 53207 60808 67718 105644 106414 135436 211288 212828 237013 270872 372449 425656 474026 744898 948052 1489796 1659091 1896104 2607143 2979592 3318182 5214286 6636364 10428572 13272728 18250001 20857144 36500002 73000004 146000008