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196537950 = 232527431451
BaseRepresentation
bin10111011011011…
…10111001011110
3111200211011101100
423231232321132
5400303203300
631300253530
74604354640
oct1355567136
9450734340
10196537950
11a0a38964
12559a12a6
133194455b
141c160890
15123c3700
hexbb6ee5e

196537950 has 144 divisors (see below), whose sum is σ = 617924736. Its totient is φ = 43848000.

The previous prime is 196537949. The next prime is 196537963. The reversal of 196537950 is 59735691.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 196537896 and 196537905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 134725 + ... + 136175.

It is an arithmetic number, because the mean of its divisors is an integer number (4291144).

Almost surely, 2196537950 is an apocalyptic number.

196537950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 196537950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308962368).

196537950 is an abundant number, since it is smaller than the sum of its proper divisors (421386786).

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

196537950 is a wasteful number, since it uses less digits than its factorization.

196537950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The square root of 196537950 is about 14019.1993351974. The cubic root of 196537950 is about 581.4095226393.

The spelling of 196537950 in words is "one hundred ninety-six million, five hundred thirty-seven thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 43 45 50 63 70 75 86 90 105 126 129 150 175 210 215 225 258 301 315 350 387 430 450 525 602 630 645 774 903 1050 1075 1290 1451 1505 1575 1806 1935 2150 2709 2902 3010 3150 3225 3870 4353 4515 5418 6450 7255 7525 8706 9030 9675 10157 13059 13545 14510 15050 19350 20314 21765 22575 26118 27090 30471 36275 43530 45150 50785 60942 62393 65295 67725 72550 91413 101570 108825 124786 130590 135450 152355 182826 187179 217650 253925 304710 311965 326475 374358 436751 457065 507850 561537 623930 652950 761775 873502 914130 935895 1123074 1310253 1523550 1559825 1871790 2183755 2285325 2620506 2807685 3119650 3930759 4367510 4570650 4679475 5615370 6551265 7861518 9358950 10918775 13102530 14038425 19653795 21837550 28076850 32756325 39307590 65512650 98268975 196537950