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196001520 = 243511135711
BaseRepresentation
bin10111010111010…
…11111011110000
3111122210220112120
423223223323300
5400134022040
631240554240
74566662001
oct1353537360
9448726476
10196001520
11a0701930
1255782980
13317b7340
141c0611a8
15123197d0
hexbaebef0

196001520 has 160 divisors (see below), whose sum is σ = 713954304. Its totient is φ = 43852800.

The previous prime is 196001503. The next prime is 196001527. The reversal of 196001520 is 25100691.

It is a super-4 number, since 4×1960015204 (a number of 34 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196001527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31465 + ... + 37175.

Almost surely, 2196001520 is an apocalyptic number.

196001520 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 196001520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356977152).

196001520 is an abundant number, since it is smaller than the sum of its proper divisors (517952784).

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

196001520 is a wasteful number, since it uses less digits than its factorization.

196001520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5751 (or 5745 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 196001520 is about 14000.0542856090. The cubic root of 196001520 is about 580.8800749434.

The spelling of 196001520 in words is "one hundred ninety-six million, one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 33 39 40 44 48 52 55 60 65 66 78 80 88 104 110 120 130 132 143 156 165 176 195 208 220 240 260 264 286 312 330 390 429 440 520 528 572 624 660 715 780 858 880 1040 1144 1320 1430 1560 1716 2145 2288 2640 2860 3120 3432 4290 5711 5720 6864 8580 11422 11440 17133 17160 22844 28555 34266 34320 45688 57110 62821 68532 74243 85665 91376 114220 125642 137064 148486 171330 188463 222729 228440 251284 274128 296972 314105 342660 371215 376926 445458 456880 502568 593944 628210 685320 742430 753852 816673 890916 942315 1005136 1113645 1187888 1256420 1370640 1484860 1507704 1633346 1781832 1884630 2227290 2450019 2512840 2969720 3015408 3266692 3563664 3769260 4083365 4454580 4900038 5025680 5939440 6533384 7538520 8166730 8909160 9800076 12250095 13066768 15077040 16333460 17818320 19600152 24500190 32666920 39200304 49000380 65333840 98000760 196001520