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146725020 = 22345136967
BaseRepresentation
bin10001011111011…
…01100010011100
3101020002101220000
420233231202130
5300030200040
622320454300
73431066511
oct1057554234
9336071800
10146725020
1175905752
124117a390
1324523350
14156b5308
15cd34130
hex8bed89c

146725020 has 120 divisors (see below), whose sum is σ = 495759264. Its totient is φ = 36111744.

The previous prime is 146725003. The next prime is 146725021. The reversal of 146725020 is 20527641.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146725021) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17577 + ... + 24543.

Almost surely, 2146725020 is an apocalyptic number.

146725020 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 146725020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247879632).

146725020 is an abundant number, since it is smaller than the sum of its proper divisors (349034244).

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

146725020 is a wasteful number, since it uses less digits than its factorization.

146725020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7001 (or 6990 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 146725020 is about 12113.0103607650. The cubic root of 146725020 is about 527.4339232762.

The spelling of 146725020 in words is "one hundred forty-six million, seven hundred twenty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 3510 4212 5265 6967 7020 10530 13934 20901 21060 27868 34835 41802 62703 69670 83604 90571 104505 125406 139340 181142 188109 209010 250812 271713 313515 362284 376218 418020 452855 543426 564327 627030 752436 815139 905710 940545 1086852 1128654 1254060 1358565 1630278 1811420 1881090 2257308 2445417 2717130 2821635 3260556 3762180 4075695 4890834 5434260 5643270 7336251 8151390 9781668 11286540 12227085 14672502 16302780 24454170 29345004 36681255 48908340 73362510 146725020