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73236480 = 21535149
BaseRepresentation
bin1000101110110…
…00000000000000
312002210210120020
410113120000000
5122222031410
611133413440
71546333302
oct427300000
9162723506
1073236480
1138381719
122063a280
13122329c5
149a25972
156669a70
hex45d8000

73236480 has 128 divisors (see below), whose sum is σ = 235926000. Its totient is φ = 19398656.

The previous prime is 73236479. The next prime is 73236487. The reversal of 73236480 is 8463237.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73236487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 491446 + ... + 491594.

Almost surely, 273236480 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 73236480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117963000).

73236480 is an abundant number, since it is smaller than the sum of its proper divisors (162689520).

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

73236480 is an equidigital number, since it uses as much as digits as its factorization.

73236480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 73236480 is about 8557.8315010288. The cubic root of 73236480 is about 418.3847254982.

The spelling of 73236480 in words is "seventy-three million, two hundred thirty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 149 160 192 240 256 298 320 384 447 480 512 596 640 745 768 894 960 1024 1192 1280 1490 1536 1788 1920 2048 2235 2384 2560 2980 3072 3576 3840 4096 4470 4768 5120 5960 6144 7152 7680 8192 8940 9536 10240 11920 12288 14304 15360 16384 17880 19072 20480 23840 24576 28608 30720 32768 35760 38144 40960 47680 49152 57216 61440 71520 76288 81920 95360 98304 114432 122880 143040 152576 163840 190720 228864 245760 286080 305152 381440 457728 491520 572160 610304 762880 915456 1144320 1220608 1525760 1830912 2288640 2441216 3051520 3661824 4577280 4882432 6103040 7323648 9154560 12206080 14647296 18309120 24412160 36618240 73236480