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60049920 = 293571117
BaseRepresentation
bin1110010100010…
…0101000000000
311011222212000010
43211010220000
5110333044140
65543024520
71326262440
oct345045000
9134885003
1060049920
1130995437
121813b140
13c5968c8
147d92120
155412880
hex3944a00

60049920 has 160 divisors (see below), whose sum is σ = 219593088. Its totient is φ = 13713408.

The previous prime is 60049909. The next prime is 60049921. The reversal of 60049920 is 2994006.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (60049921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53202 + ... + 54318.

Almost surely, 260049920 is an apocalyptic number.

60049920 is a gapful number since it is divisible by the number (60) 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 60049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109796544).

60049920 is an abundant number, since it is smaller than the sum of its proper divisors (159543168).

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

60049920 is a wasteful number, since it uses less digits than its factorization.

60049920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 60049920 is about 7749.1883445945. The cubic root of 60049920 is about 391.5953063493.

The spelling of 60049920 in words is "sixty million, forty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 512 560 640 672 768 840 896 960 1117 1120 1280 1344 1536 1680 1792 1920 2234 2240 2560 2688 3351 3360 3584 3840 4468 4480 5376 5585 6702 6720 7680 7819 8936 8960 10752 11170 13404 13440 15638 16755 17872 17920 22340 23457 26808 26880 31276 33510 35744 39095 44680 46914 53616 53760 62552 67020 71488 78190 89360 93828 107232 117285 125104 134040 142976 156380 178720 187656 214464 234570 250208 268080 285952 312760 357440 375312 428928 469140 500416 536160 571904 625520 714880 750624 857856 938280 1000832 1072320 1251040 1429760 1501248 1715712 1876560 2001664 2144640 2502080 2859520 3002496 3753120 4003328 4289280 5004160 6004992 7506240 8578560 10008320 12009984 15012480 20016640 30024960 60049920