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29720080 = 2451317412
BaseRepresentation
bin111000101011…
…1111000010000
32001220221021201
41301113320100
530102020310
62541000544
7510421315
oct161277020
961827251
1029720080
111585a155
129b53154
136207760
143d38d0c
152920e3a
hex1c57e10

29720080 has 120 divisors (see below), whose sum is σ = 80760456. Its totient is φ = 10076160.

The previous prime is 29720057. The next prime is 29720107. The reversal of 29720080 is 8002792.

It can be written as a sum of positive squares in 12 ways, for example, as 23001616 + 6718464 = 4796^2 + 2592^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 724860 + ... + 724900.

Almost surely, 229720080 is an apocalyptic number.

29720080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29720080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40380228).

29720080 is an abundant number, since it is smaller than the sum of its proper divisors (51040376).

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

29720080 is a wasteful number, since it uses less digits than its factorization.

29720080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 29720080 is about 5451.6126054590. The cubic root of 29720080 is about 309.7538107819.

The spelling of 29720080 in words is "twenty-nine million, seven hundred twenty thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 40 41 52 65 68 80 82 85 104 130 136 164 170 205 208 221 260 272 328 340 410 442 520 533 656 680 697 820 884 1040 1066 1105 1360 1394 1640 1681 1768 2132 2210 2665 2788 3280 3362 3485 3536 4264 4420 5330 5576 6724 6970 8405 8528 8840 9061 10660 11152 13448 13940 16810 17680 18122 21320 21853 26896 27880 28577 33620 36244 42640 43706 45305 55760 57154 67240 72488 87412 90610 109265 114308 134480 142885 144976 174824 181220 218530 228616 285770 349648 362440 371501 437060 457232 571540 724880 743002 874120 1143080 1486004 1748240 1857505 2286160 2972008 3715010 5944016 7430020 14860040 29720080