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146121500 = 2253783503
BaseRepresentation
bin10001011010110…
…10001100011100
3101011221202000102
420231122030130
5244401342000
622255520232
73423004130
oct1055321434
9334852012
10146121500
1175533278
1240b29078
1324371735
14155993c0
15cc653d5
hex8b5a31c

146121500 has 96 divisors (see below), whose sum is σ = 369847296. Its totient is φ = 49396800.

The previous prime is 146121491. The next prime is 146121527. The reversal of 146121500 is 5121641.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290249 + ... + 290751.

It is an arithmetic number, because the mean of its divisors is an integer number (3852576).

Almost surely, 2146121500 is an apocalyptic number.

146121500 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 146121500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184923648).

146121500 is an abundant number, since it is smaller than the sum of its proper divisors (223725796).

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

146121500 is a wasteful number, since it uses less digits than its factorization.

146121500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 146121500 is about 12088.0726337990. The cubic root of 146121500 is about 526.7097696568.

The spelling of 146121500 in words is "one hundred forty-six million, one hundred twenty-one thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 83 100 125 140 166 175 250 332 350 415 500 503 581 700 830 875 1006 1162 1660 1750 2012 2075 2324 2515 2905 3500 3521 4150 5030 5810 7042 8300 10060 10375 11620 12575 14084 14525 17605 20750 25150 29050 35210 41500 41749 50300 58100 62875 70420 72625 83498 88025 125750 145250 166996 176050 208745 251500 290500 292243 352100 417490 440125 584486 834980 880250 1043725 1168972 1461215 1760500 2087450 2922430 4174900 5218625 5844860 7306075 10437250 14612150 20874500 29224300 36530375 73060750 146121500