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74106630 = 23351343491
BaseRepresentation
bin1000110101011…
…00011100000110
312011110000012000
410122230130012
5122432403010
611204210130
71556616213
oct432543406
9164400160
1074106630
1138916454
1220999946
1312478aa0
149bb0b0a
15678c7c0
hex46ac706

74106630 has 128 divisors (see below), whose sum is σ = 218211840. Its totient is φ = 17781120.

The previous prime is 74106601. The next prime is 74106679. The reversal of 74106630 is 3660147.

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

It is a junction number, because it is equal to n+sod(n) for n = 74106594 and 74106603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 150685 + ... + 151175.

It is an arithmetic number, because the mean of its divisors is an integer number (1704780).

Almost surely, 274106630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74106630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109105920).

74106630 is an abundant number, since it is smaller than the sum of its proper divisors (144105210).

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

74106630 is a wasteful number, since it uses less digits than its factorization.

74106630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 557 counting only the distinct ones).

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

The square root of 74106630 is about 8608.5207788563. The cubic root of 74106630 is about 420.0352011313.

Adding to 74106630 its reverse (3660147), we get a palindrome (77766777).

The spelling of 74106630 in words is "seventy-four million, one hundred six thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 43 45 54 65 78 86 90 117 129 130 135 195 215 234 258 270 351 387 390 430 491 559 585 645 702 774 982 1118 1161 1170 1290 1473 1677 1755 1935 2322 2455 2795 2946 3354 3510 3870 4419 4910 5031 5590 5805 6383 7365 8385 8838 10062 11610 12766 13257 14730 15093 16770 19149 21113 22095 25155 26514 30186 31915 38298 42226 44190 50310 57447 63339 63830 66285 75465 95745 105565 114894 126678 132570 150930 172341 190017 191490 211130 274469 287235 316695 344682 380034 548938 570051 574470 633390 823407 861705 950085 1140102 1372345 1646814 1723410 1900170 2470221 2744690 2850255 4117035 4940442 5700510 7410663 8234070 12351105 14821326 24702210 37053315 74106630