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73121620 = 225111337691
BaseRepresentation
bin1000101101110…
…11111101010100
312002120222000011
410112323331110
5122204342440
611131130004
71545344365
oct426737524
9162528004
1073121620
11383033a0
12205a3904
13121c2640
1499d5b6c
1566459ea
hex45bbf54

73121620 has 96 divisors (see below), whose sum is σ = 185544576. Its totient is φ = 23846400.

The previous prime is 73121617. The next prime is 73121663. The reversal of 73121620 is 2612137.

It is a super-2 number, since 2×731216202 = 10693542622848800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 73121591 and 73121600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105475 + ... + 106165.

It is an arithmetic number, because the mean of its divisors is an integer number (1932756).

Almost surely, 273121620 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 73121620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92772288).

73121620 is an abundant number, since it is smaller than the sum of its proper divisors (112422956).

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

73121620 is a wasteful number, since it uses less digits than its factorization.

73121620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 73121620 is about 8551.1180555527. The cubic root of 73121620 is about 418.1658873177.

Adding to 73121620 its reverse (2612137), we get a palindrome (75733757).

The spelling of 73121620 in words is "seventy-three million, one hundred twenty-one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 37 44 52 55 65 74 110 130 143 148 185 220 260 286 370 407 481 572 691 715 740 814 962 1382 1430 1628 1924 2035 2405 2764 2860 3455 4070 4810 5291 6910 7601 8140 8983 9620 10582 13820 15202 17966 21164 25567 26455 30404 35932 38005 44915 51134 52910 76010 89830 98813 102268 105820 127835 152020 179660 197626 255670 281237 332371 395252 494065 511340 562474 664742 988130 1124948 1329484 1406185 1661855 1976260 2812370 3323710 3656081 5624740 6647420 7312162 14624324 18280405 36560810 73121620