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197940120 = 23357613863
BaseRepresentation
bin10111100110001…
…01001110011000
3111210110101210120
423303011032120
5401133040440
631350313240
74622314620
oct1363051630
9453411716
10197940120
11a1806384
1256358820
1332015841
141c407880
151259ddd0
hexbcc5398

197940120 has 128 divisors (see below), whose sum is σ = 689955840. Its totient is φ = 44490240.

The previous prime is 197940101. The next prime is 197940173. The reversal of 197940120 is 21049791.

197940120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1979401202 = 78360582211228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49309 + ... + 53171.

It is an arithmetic number, because the mean of its divisors is an integer number (5390280).

Almost surely, 2197940120 is an apocalyptic number.

197940120 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 197940120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344977920).

197940120 is an abundant number, since it is smaller than the sum of its proper divisors (492015720).

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

197940120 is a wasteful number, since it uses less digits than its factorization.

197940120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3945 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 197940120 is about 14069.1193754265. The cubic root of 197940120 is about 582.7889066462.

The spelling of 197940120 in words is "one hundred ninety-seven million, nine hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 61 70 84 105 120 122 140 168 183 210 244 280 305 366 420 427 488 610 732 840 854 915 1220 1281 1464 1708 1830 2135 2440 2562 3416 3660 3863 4270 5124 6405 7320 7726 8540 10248 11589 12810 15452 17080 19315 23178 25620 27041 30904 38630 46356 51240 54082 57945 77260 81123 92712 108164 115890 135205 154520 162246 216328 231780 235643 270410 324492 405615 463560 471286 540820 648984 706929 811230 942572 1081640 1178215 1413858 1622460 1649501 1885144 2356430 2827716 3244920 3299002 3534645 4712860 4948503 5655432 6598004 7069290 8247505 9425720 9897006 13196008 14138580 16495010 19794012 24742515 28277160 32990020 39588024 49485030 65980040 98970060 197940120