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198073920 = 26351118757
BaseRepresentation
bin10111100111001…
…01111001000000
3111210201012100010
423303211321000
5401201331140
631353224520
74623412662
oct1363457100
9453635303
10198073920
11a1897960
1256402140
1332061705
141c440532
15125c8880
hexbce5e40

198073920 has 112 divisors (see below), whose sum is σ = 686092608. Its totient is φ = 48015360.

The previous prime is 198073901. The next prime is 198073927. The reversal of 198073920 is 29370891.

198073920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (198073927) 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, 1182 + ... + 19938.

Almost surely, 2198073920 is an apocalyptic number.

198073920 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 198073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343046304).

198073920 is an abundant number, since it is smaller than the sum of its proper divisors (488018688).

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

198073920 is a wasteful number, since it uses less digits than its factorization.

198073920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18788 (or 18778 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 198073920 is about 14073.8736671891. The cubic root of 198073920 is about 582.9201914551.

The spelling of 198073920 in words is "one hundred ninety-eight million, seventy-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 18757 37514 56271 75028 93785 112542 150056 187570 206327 225084 281355 300112 375140 412654 450168 562710 600224 618981 750280 825308 900336 1031635 1125420 1200448 1237962 1500560 1650616 1800672 2063270 2250840 2475924 3001120 3094905 3301232 3601344 4126540 4501680 4951848 6002240 6189810 6602464 8253080 9003360 9903696 12379620 13204928 16506160 18006720 19807392 24759240 33012320 39614784 49518480 66024640 99036960 198073920