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100244480 = 210572797
BaseRepresentation
bin1011111100110…
…01110000000000
320222121221120112
411332121300000
5201130310410
613540330452
72325030650
oct576316000
9228557515
10100244480
1151649186
12296a3a28
13179cab7b
14d456360
158c02105
hex5f99c00

100244480 has 88 divisors (see below), whose sum is σ = 274920288. Its totient is φ = 34357248.

The previous prime is 100244479. The next prime is 100244489. The reversal of 100244480 is 84442001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100244489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34442 + ... + 37238.

Almost surely, 2100244480 is an apocalyptic number.

100244480 is a gapful number since it is divisible by the number (10) 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 100244480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137460144).

100244480 is an abundant number, since it is smaller than the sum of its proper divisors (174675808).

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

100244480 is an equidigital number, since it uses as much as digits as its factorization.

100244480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2829 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 100244480 is about 10012.2165378102. The cubic root of 100244480 is about 464.5368340698.

Adding to 100244480 its reverse (84442001), we get a palindrome (184686481).

The spelling of 100244480 in words is "one hundred million, two hundred forty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1792 2240 2560 2797 3584 4480 5120 5594 7168 8960 11188 13985 17920 19579 22376 27970 35840 39158 44752 55940 78316 89504 97895 111880 156632 179008 195790 223760 313264 358016 391580 447520 626528 716032 783160 895040 1253056 1432064 1566320 1790080 2506112 2864128 3132640 3580160 5012224 6265280 7160320 10024448 12530560 14320640 20048896 25061120 50122240 100244480