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145555440 = 2435837307
BaseRepresentation
bin10001010110011…
…11111111110000
3101010212222112020
420223033333300
5244230233230
622235431440
73415125612
oct1053177760
9333788466
10145555440
1175186a58
12408b5580
1324203ba4
141548cdb2
15cba2810
hex8acfff0

145555440 has 80 divisors (see below), whose sum is σ = 456720768. Its totient is φ = 38341888.

The previous prime is 145555429. The next prime is 145555441. The reversal of 145555440 is 44555541.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1455554402 = 42372772227187200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145555441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16267 + ... + 23573.

Almost surely, 2145555440 is an apocalyptic number.

145555440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145555440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228360384).

145555440 is an abundant number, since it is smaller than the sum of its proper divisors (311165328).

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

145555440 is a wasteful number, since it uses less digits than its factorization.

145555440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7406 (or 7400 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 33.

The square root of 145555440 is about 12064.6359248839. The cubic root of 145555440 is about 526.0287492660.

The spelling of 145555440 in words is "one hundred forty-five million, five hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 120 166 240 249 332 415 498 664 830 996 1245 1328 1660 1992 2490 3320 3984 4980 6640 7307 9960 14614 19920 21921 29228 36535 43842 58456 73070 87684 109605 116912 146140 175368 219210 292280 350736 438420 584560 606481 876840 1212962 1753680 1819443 2425924 3032405 3638886 4851848 6064810 7277772 9097215 9703696 12129620 14555544 18194430 24259240 29111088 36388860 48518480 72777720 145555440