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146871816 = 23372132739
BaseRepresentation
bin10001100000100…
…01011000001000
3101020100212020220
420300101120020
5300044344231
622323550040
73432250500
oct1060213010
9336325226
10146871816
11759a5a73
124122b320
1324575100
1415712a00
15cd62896
hex8c11608

146871816 has 144 divisors (see below), whose sum is σ = 463136400. Its totient is φ = 38683008.

The previous prime is 146871797. The next prime is 146871821. The reversal of 146871816 is 618178641.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 198375 + ... + 199113.

It is an arithmetic number, because the mean of its divisors is an integer number (3216225).

Almost surely, 2146871816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146871816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231568200).

146871816 is an abundant number, since it is smaller than the sum of its proper divisors (316264584).

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

146871816 is a wasteful number, since it uses less digits than its factorization.

146871816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 764 counting only the distinct ones).

The product of its digits is 64512, while the sum is 42.

The square root of 146871816 is about 12119.0682810190. The cubic root of 146871816 is about 527.6097610069.

The spelling of 146871816 in words is "one hundred forty-six million, eight hundred seventy-one thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 169 182 196 273 294 312 338 364 392 507 546 588 637 676 728 739 1014 1092 1176 1183 1274 1352 1478 1911 2028 2184 2217 2366 2548 2956 3549 3822 4056 4434 4732 5096 5173 5912 7098 7644 8281 8868 9464 9607 10346 14196 15288 15519 16562 17736 19214 20692 24843 28392 28821 31038 33124 36211 38428 41384 49686 57642 62076 66248 67249 72422 76856 99372 108633 115284 124152 124891 134498 144844 198744 201747 217266 230568 249782 268996 289688 374673 403494 434532 470743 499564 537992 749346 806988 869064 874237 941486 999128 1412229 1498692 1613976 1748474 1882972 2622711 2824458 2997384 3496948 3765944 5245422 5648916 6119659 6993896 10490844 11297832 12239318 18358977 20981688 24478636 36717954 48957272 73435908 146871816