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199901020 = 225113129311
BaseRepresentation
bin10111110101000…
…11111101011100
3111221011000122111
423322203331130
5402133313040
631500323404
74645062544
oct1372437534
9457130574
10199901020
11a2925660
1256b43564
1332551237
141c798324
1512839dea
hexbea3f5c

199901020 has 48 divisors (see below), whose sum is σ = 472743936. Its totient is φ = 70344000.

The previous prime is 199901017. The next prime is 199901021. The reversal of 199901020 is 20109991.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199901021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7836 + ... + 21475.

It is an arithmetic number, because the mean of its divisors is an integer number (9848832).

Almost surely, 2199901020 is an apocalyptic number.

199901020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199901020 is an abundant number, since it is smaller than the sum of its proper divisors (272842916).

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

199901020 is a wasteful number, since it uses less digits than its factorization.

199901020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29362 (or 29360 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 31.

The square root of 199901020 is about 14138.6357191916. The cubic root of 199901020 is about 584.7070586314.

The spelling of 199901020 in words is "one hundred ninety-nine million, nine hundred one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1364 1705 3410 6820 29311 58622 117244 146555 293110 322421 586220 644842 908641 1289684 1612105 1817282 3224210 3634564 4543205 6448420 9086410 9995051 18172820 19990102 39980204 49975255 99950510 199901020