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73000000 = 265673
BaseRepresentation
bin1000101100111…
…10010001000000
312002100210011201
410112132101000
5122142000000
611124350544
71544326663
oct426362100
9162323151
1073000000
113822aa87
1220545454
131217c188
1499a36da
15661e96a
hex459e440

73000000 has 98 divisors (see below), whose sum is σ = 183552338. Its totient is φ = 28800000.

The previous prime is 72999991. The next prime is 73000003. The reversal of 73000000 is 37.

It can be written as a sum of positive squares in 7 ways, for example, as 72999936 + 64 = 8544^2 + 8^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (73000003) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 999964 + ... + 1000036.

Almost surely, 273000000 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 73000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91776169).

73000000 is an abundant number, since it is smaller than the sum of its proper divisors (110552338).

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

73000000 is an frugal number, since it uses more digits than its factorization.

73000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 21, while the sum is 10.

The square root of 73000000 is about 8544.0037453175. The cubic root of 73000000 is about 417.9339196381.

Adding to 73000000 its reverse (37), we get a palindrome (73000037).

The spelling of 73000000 in words is "seventy-three million", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 73 80 100 125 146 160 200 250 292 320 365 400 500 584 625 730 800 1000 1168 1250 1460 1600 1825 2000 2336 2500 2920 3125 3650 4000 4672 5000 5840 6250 7300 8000 9125 10000 11680 12500 14600 15625 18250 20000 23360 25000 29200 31250 36500 40000 45625 50000 58400 62500 73000 91250 100000 116800 125000 146000 182500 200000 228125 250000 292000 365000 456250 500000 584000 730000 912500 1000000 1140625 1460000 1825000 2281250 2920000 3650000 4562500 7300000 9125000 14600000 18250000 36500000 73000000