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146981700 = 223252197829
BaseRepresentation
bin10001100001011…
…00001101000100
3101020120102222200
420300230031010
5300111403300
622330154500
73433216035
oct1060541504
9336512880
10146981700
1175a70588
1241282a30
13245b3128
1415740a8c
15cd85200
hex8c2c344

146981700 has 108 divisors (see below), whose sum is σ = 463603140. Its totient is φ = 38949120.

The previous prime is 146981693. The next prime is 146981713. The reversal of 146981700 is 7189641.

It can be written as a sum of positive squares in 6 ways, for example, as 6843456 + 140138244 = 2616^2 + 11838^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 176886 + ... + 177714.

Almost surely, 2146981700 is an apocalyptic number.

146981700 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 146981700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231801570).

146981700 is an abundant number, since it is smaller than the sum of its proper divisors (316621440).

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

146981700 is a wasteful number, since it uses less digits than its factorization.

146981700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 146981700 is about 12123.6009502128. The cubic root of 146981700 is about 527.7413075035.

The spelling of 146981700 in words is "one hundred forty-six million, nine hundred eighty-one thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 197 225 300 394 450 591 788 829 900 985 1182 1658 1773 1970 2364 2487 2955 3316 3546 3940 4145 4925 4974 5910 7092 7461 8290 8865 9850 9948 11820 12435 14775 14922 16580 17730 19700 20725 24870 29550 29844 35460 37305 41450 44325 49740 59100 62175 74610 82900 88650 124350 149220 163313 177300 186525 248700 326626 373050 489939 653252 746100 816565 979878 1469817 1633130 1959756 2449695 2939634 3266260 4082825 4899390 5879268 7349085 8165650 9798780 12248475 14698170 16331300 24496950 29396340 36745425 48993900 73490850 146981700