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74244960 = 25325471097
BaseRepresentation
bin1000110110011…
…10001101100000
312011201000221100
410123032031200
5123001314320
611211154400
71561033416
oct433161540
9164630840
1074244960
1138a00379
1220a45a00
13124c6a3a
149c092b6
1567b8790
hex46ce360

74244960 has 144 divisors (see below), whose sum is σ = 258987456. Its totient is φ = 19359744.

The previous prime is 74244953. The next prime is 74244971. The reversal of 74244960 is 6944247.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 67132 + ... + 68228.

It is an arithmetic number, because the mean of its divisors is an integer number (1798524).

Almost surely, 274244960 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 74244960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129493728).

74244960 is an abundant number, since it is smaller than the sum of its proper divisors (184742496).

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

74244960 is a wasteful number, since it uses less digits than its factorization.

74244960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 74244960 is about 8616.5515143821. The cubic root of 74244960 is about 420.2963894315.

The spelling of 74244960 in words is "seventy-four million, two hundred forty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 47 48 60 72 80 90 94 96 120 141 144 160 180 188 235 240 282 288 360 376 423 470 480 564 705 720 752 846 940 1097 1128 1410 1440 1504 1692 1880 2115 2194 2256 2820 3291 3384 3760 4230 4388 4512 5485 5640 6582 6768 7520 8460 8776 9873 10970 11280 13164 13536 16455 16920 17552 19746 21940 22560 26328 32910 33840 35104 39492 43880 49365 51559 52656 65820 67680 78984 87760 98730 103118 105312 131640 154677 157968 175520 197460 206236 257795 263280 309354 315936 394920 412472 464031 515590 526560 618708 773385 789840 824944 928062 1031180 1237416 1546770 1579680 1649888 1856124 2062360 2320155 2474832 3093540 3712248 4124720 4640310 4949664 6187080 7424496 8249440 9280620 12374160 14848992 18561240 24748320 37122480 74244960