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163006074 = 233711197199
BaseRepresentation
bin10011011011101…
…00011001111010
3102100201120022000
421231310121322
5313212143244
624101441430
74016346240
oct1155643172
9370646260
10163006074
1184015970
1246710276
1327a03aca
1417912790
15e49d169
hex9b7467a

163006074 has 128 divisors (see below), whose sum is σ = 456192000. Its totient is φ = 41912640.

The previous prime is 163006069. The next prime is 163006079. The reversal of 163006074 is 470600361.

It is an interprime number because it is at equal distance from previous prime (163006069) and next prime (163006079).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (163006079) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 819027 + ... + 819225.

It is an arithmetic number, because the mean of its divisors is an integer number (3564000).

Almost surely, 2163006074 is an apocalyptic number.

163006074 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 163006074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228096000).

163006074 is an abundant number, since it is smaller than the sum of its proper divisors (293185926).

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

163006074 is a wasteful number, since it uses less digits than its factorization.

163006074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 163006074 is about 12767.3832087864. The cubic root of 163006074 is about 546.2623422305.

The spelling of 163006074 in words is "one hundred sixty-three million, six thousand, seventy-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 197 198 199 231 297 378 394 398 462 591 594 597 693 1182 1194 1379 1386 1393 1773 1791 2079 2167 2189 2758 2786 3546 3582 4137 4158 4179 4334 4378 5319 5373 6501 6567 8274 8358 10638 10746 12411 12537 13002 13134 15169 15323 19503 19701 24822 25074 30338 30646 37233 37611 39006 39203 39402 45507 45969 58509 59103 74466 75222 78406 91014 91938 117018 117609 118206 136521 137907 235218 273042 274421 275814 352827 409563 413721 431233 548842 705654 819126 823263 827442 862466 1058481 1293699 1646526 2116962 2469789 2587398 3018631 3881097 4939578 6037262 7409367 7762194 9055893 11643291 14818734 18111786 23286582 27167679 54335358 81503037 163006074