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99214720 = 2751117829
BaseRepresentation
bin1011110100111…
…10010110000000
320220200122000021
411322132112000
5200344332340
613502303224
72313211513
oct572362600
9226618007
1099214720
1151005540
1229287b14
131772a247
14d268d7a
158a9be4a
hex5e9e580

99214720 has 128 divisors (see below), whose sum is σ = 274298400. Its totient is φ = 33914880.

The previous prime is 99214699. The next prime is 99214721. The reversal of 99214720 is 2741299.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99214721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119266 + ... + 120094.

Almost surely, 299214720 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 99214720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137149200).

99214720 is an abundant number, since it is smaller than the sum of its proper divisors (175083680).

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

99214720 is a wasteful number, since it uses less digits than its factorization.

99214720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 99214720 is about 9960.6586127625. The cubic root of 99214720 is about 462.9407067827.

It can be divided in two parts, 9921 and 4720, that added together give a palindrome (14641).

The spelling of 99214720 in words is "ninety-nine million, two hundred fourteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 64 68 80 85 88 110 128 136 160 170 176 187 220 272 320 340 352 374 440 544 640 680 704 748 829 880 935 1088 1360 1408 1496 1658 1760 1870 2176 2720 2992 3316 3520 3740 4145 5440 5984 6632 7040 7480 8290 9119 10880 11968 13264 14093 14960 16580 18238 23936 26528 28186 29920 33160 36476 45595 53056 56372 59840 66320 70465 72952 91190 106112 112744 119680 132640 140930 145904 155023 182380 225488 265280 281860 291808 310046 364760 450976 530560 563720 583616 620092 729520 775115 901952 1127440 1167232 1240184 1459040 1550230 1803904 2254880 2480368 2918080 3100460 4509760 4960736 5836160 6200920 9019520 9921472 12401840 19842944 24803680 49607360 99214720