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73023930 = 2395753
BaseRepresentation
bin1000101101001…
…00000110111010
312002102000000000
410112210012322
5122143231210
611125053430
71544456520
oct426440672
9162360000
1073023930
1138246a61
1220557276
131218a035
1499ac310
156626ac0
hex45a41ba

73023930 has 160 divisors (see below), whose sum is σ = 229578624. Its totient is φ = 16376256.

The previous prime is 73023917. The next prime is 73023949. The reversal of 73023930 is 3932037.

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 = 73023894 and 73023903.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1377784 + ... + 1377836.

Almost surely, 273023930 is an apocalyptic number.

73023930 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 73023930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114789312).

73023930 is an abundant number, since it is smaller than the sum of its proper divisors (156554694).

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

73023930 is an frugal number, since it uses more digits than its factorization.

73023930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 73023930 is about 8545.4040278971. The cubic root of 73023930 is about 417.9795820403.

Adding to 73023930 its reverse (3932037), we get a palindrome (76955967).

The spelling of 73023930 in words is "seventy-three million, twenty-three thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 53 54 63 70 81 90 105 106 126 135 159 162 189 210 243 265 270 315 318 371 378 405 477 486 530 567 630 729 742 795 810 945 954 1113 1134 1215 1431 1458 1590 1701 1855 1890 2187 2226 2385 2430 2835 2862 3339 3402 3645 3710 4293 4374 4770 5103 5565 5670 6561 6678 7155 7290 8505 8586 10017 10206 10935 11130 12879 13122 14310 15309 16695 17010 19683 20034 21465 21870 25515 25758 30051 30618 32805 33390 38637 39366 42930 45927 50085 51030 60102 64395 65610 76545 77274 90153 91854 98415 100170 115911 128790 137781 150255 153090 180306 193185 196830 229635 231822 270459 275562 300510 347733 386370 450765 459270 540918 579555 688905 695466 811377 901530 1043199 1159110 1352295 1377810 1622754 1738665 2086398 2434131 2704590 3477330 4056885 4868262 5215995 7302393 8113770 10431990 12170655 14604786 24341310 36511965 73023930