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145998600 = 233521122011
BaseRepresentation
bin10001011001111…
…00001100001000
3101011201111102120
420230330030020
5244333423400
622253131240
73421652616
oct1054741410
9334644376
10145998600
1175459a00
1240a89b20
132432a807
14155666b6
15cc3dca0
hex8b3c308

145998600 has 144 divisors (see below), whose sum is σ = 497728560. Its totient is φ = 35376000.

The previous prime is 145998563. The next prime is 145998617. The reversal of 145998600 is 6899541.

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 35 ways as a sum of consecutive naturals, for example, 71595 + ... + 73605.

Almost surely, 2145998600 is an apocalyptic number.

145998600 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 145998600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248864280).

145998600 is an abundant number, since it is smaller than the sum of its proper divisors (351729960).

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

145998600 is a wasteful number, since it uses less digits than its factorization.

145998600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 2032 counting only the distinct ones).

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

The square root of 145998600 is about 12082.9880410435. The cubic root of 145998600 is about 526.5620597313.

The spelling of 145998600 in words is "one hundred forty-five million, nine hundred ninety-eight thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 121 132 150 165 200 220 242 264 275 300 330 363 440 484 550 600 605 660 726 825 968 1100 1210 1320 1452 1650 1815 2011 2200 2420 2904 3025 3300 3630 4022 4840 6033 6050 6600 7260 8044 9075 10055 12066 12100 14520 16088 18150 20110 22121 24132 24200 30165 36300 40220 44242 48264 50275 60330 66363 72600 80440 88484 100550 110605 120660 132726 150825 176968 201100 221210 241320 243331 265452 301650 331815 402200 442420 486662 530904 553025 603300 663630 729993 884840 973324 1106050 1206600 1216655 1327260 1459986 1659075 1946648 2212100 2433310 2654520 2919972 3318150 3649965 4424200 4866620 5839944 6083275 6636300 7299930 9733240 12166550 13272600 14599860 18249825 24333100 29199720 36499650 48666200 72999300 145998600