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128193720 = 23352346447
BaseRepresentation
bin1111010010000…
…01010010111000
322221012220201120
413221001102320
5230304144340
620415345240
73114425424
oct751012270
9287186646
10128193720
11663a8926
1236b22220
1320735595
141304db84
15b3c34d0
hex7a414b8

128193720 has 64 divisors (see below), whose sum is σ = 401310720. Its totient is φ = 32697984.

The previous prime is 128193647. The next prime is 128193727. The reversal of 128193720 is 27391821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128193727) 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, 20464 + ... + 25983.

It is an arithmetic number, because the mean of its divisors is an integer number (6270480).

Almost surely, 2128193720 is an apocalyptic number.

128193720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128193720 is an abundant number, since it is smaller than the sum of its proper divisors (273117000).

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

128193720 is a wasteful number, since it uses less digits than its factorization.

128193720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46484 (or 46480 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 128193720 is about 11322.2665575405. The cubic root of 128193720 is about 504.2225333746. Note that the first 3 decimals are identical.

The spelling of 128193720 in words is "one hundred twenty-eight million, one hundred ninety-three thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 46447 92894 139341 185788 232235 278682 371576 464470 557364 696705 928940 1068281 1114728 1393410 1857880 2136562 2786820 3204843 4273124 5341405 5573640 6409686 8546248 10682810 12819372 16024215 21365620 25638744 32048430 42731240 64096860 128193720