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196651520 = 2951319311
BaseRepresentation
bin10111011100010…
…10101000000000
3111201000221011122
423232022220000
5400320322040
631302531412
74605340022
oct1356125000
9451027148
10196651520
11a100621a
1255a36b68
1331984160
141c190012
15123e71b5
hexbb8aa00

196651520 has 160 divisors (see below), whose sum is σ = 536215680. Its totient is φ = 68567040.

The previous prime is 196651519. The next prime is 196651547. The reversal of 196651520 is 25156691.

It is a tau number, because it is divible by the number of its divisors (160).

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, 632165 + ... + 632475.

It is an arithmetic number, because the mean of its divisors is an integer number (3351348).

Almost surely, 2196651520 is an apocalyptic number.

196651520 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 196651520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268107840).

196651520 is an abundant number, since it is smaller than the sum of its proper divisors (339564160).

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

196651520 is a wasteful number, since it uses less digits than its factorization.

196651520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 35.

The square root of 196651520 is about 14023.2492668425. The cubic root of 196651520 is about 581.5214907772.

The spelling of 196651520 in words is "one hundred ninety-six million, six hundred fifty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 32 38 40 52 64 65 76 80 95 104 128 130 152 160 190 208 247 256 260 304 311 320 380 416 494 512 520 608 622 640 760 832 988 1040 1216 1235 1244 1280 1520 1555 1664 1976 2080 2432 2470 2488 2560 3040 3110 3328 3952 4043 4160 4864 4940 4976 5909 6080 6220 6656 7904 8086 8320 9728 9880 9952 11818 12160 12440 15808 16172 16640 19760 19904 20215 23636 24320 24880 29545 31616 32344 33280 39520 39808 40430 47272 48640 49760 59090 63232 64688 76817 79040 79616 80860 94544 99520 118180 126464 129376 153634 158080 159232 161720 189088 199040 236360 258752 307268 316160 323440 378176 384085 398080 472720 517504 614536 632320 646880 756352 768170 796160 945440 1035008 1229072 1293760 1512704 1536340 1890880 2070016 2458144 2587520 3025408 3072680 3781760 4916288 5175040 6145360 7563520 9832576 10350080 12290720 15127040 19665152 24581440 39330304 49162880 98325760 196651520