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73209480 = 23351722111
BaseRepresentation
bin1000101110100…
…01011010001000
312002202102112020
410113101122020
5122220200410
611133044440
71546161501
oct427213210
9162672466
1073209480
1138363403
1220626720
1312223626
149a19ba8
156661a70
hex45d1688

73209480 has 96 divisors (see below), whose sum is σ = 233418240. Its totient is φ = 18365440.

The previous prime is 73209473. The next prime is 73209491. The reversal of 73209480 is 8490237.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33625 + ... + 35735.

It is an arithmetic number, because the mean of its divisors is an integer number (2431440).

Almost surely, 273209480 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 73209480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116709120).

73209480 is an abundant number, since it is smaller than the sum of its proper divisors (160208760).

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

73209480 is a wasteful number, since it uses less digits than its factorization.

73209480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 73209480 is about 8556.2538531766. The cubic root of 73209480 is about 418.3333040569. Note that the first 4 decimals are identical.

The spelling of 73209480 in words is "seventy-three million, two hundred nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 289 340 408 510 578 680 867 1020 1156 1445 1734 2040 2111 2312 2890 3468 4222 4335 5780 6333 6936 8444 8670 10555 11560 12666 16888 17340 21110 25332 31665 34680 35887 42220 50664 63330 71774 84440 107661 126660 143548 179435 215322 253320 287096 358870 430644 538305 610079 717740 861288 1076610 1220158 1435480 1830237 2153220 2440316 3050395 3660474 4306440 4880632 6100790 7320948 9151185 12201580 14641896 18302370 24403160 36604740 73209480