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196653120 = 2635792593
BaseRepresentation
bin10111011100010…
…11000001000000
3111201001000100220
423232023001000
5400320344440
631302543040
74605344466
oct1356130100
9451030326
10196653120
11a1007444
1255a37a80
1331984ac1
141c190836
15123e78d0
hexbb8b040

196653120 has 112 divisors (see below), whose sum is σ = 632520960. Its totient is φ = 51757056.

The previous prime is 196653007. The next prime is 196653131. The reversal of 196653120 is 21356691.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74544 + ... + 77136.

Almost surely, 2196653120 is an apocalyptic number.

196653120 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 196653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316260480).

196653120 is an abundant number, since it is smaller than the sum of its proper divisors (435867840).

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

196653120 is a wasteful number, since it uses less digits than its factorization.

196653120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692 (or 2682 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 196653120 is about 14023.3063148460. The cubic root of 196653120 is about 581.5230679018.

The spelling of 196653120 in words is "one hundred ninety-six million, six hundred fifty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 79 80 96 120 158 160 192 237 240 316 320 395 474 480 632 790 948 960 1185 1264 1580 1896 2370 2528 2593 3160 3792 4740 5056 5186 6320 7584 7779 9480 10372 12640 12965 15168 15558 18960 20744 25280 25930 31116 37920 38895 41488 51860 62232 75840 77790 82976 103720 124464 155580 165952 204847 207440 248928 311160 409694 414880 497856 614541 622320 819388 829760 1024235 1229082 1244640 1638776 2048470 2458164 2489280 3072705 3277552 4096940 4916328 6145410 6555104 8193880 9832656 12290820 13110208 16387760 19665312 24581640 32775520 39330624 49163280 65551040 98326560 196653120