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101047440 = 243513139233
BaseRepresentation
bin1100000010111…
…01110010010000
321001010202000210
412001131302100
5201332004230
614005444120
72334613644
oct601356220
9231122023
10101047440
115204748a
1229a10640
1317c1c4b0
14d5c4c24
158d0eeb0
hex605dc90

101047440 has 160 divisors (see below), whose sum is σ = 341228160. Its totient is φ = 24588288.

The previous prime is 101047409. The next prime is 101047447. The reversal of 101047440 is 44740101.

It is not an unprimeable number, because it can be changed into a prime (101047447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433564 + ... + 433796.

It is an arithmetic number, because the mean of its divisors is an integer number (2132676).

Almost surely, 2101047440 is an apocalyptic number.

101047440 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 101047440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170614080).

101047440 is an abundant number, since it is smaller than the sum of its proper divisors (240180720).

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

101047440 is a wasteful number, since it uses less digits than its factorization.

101047440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 101047440 is about 10052.2355722496. The cubic root of 101047440 is about 465.7738530741.

Adding to 101047440 its reverse (44740101), we get a palindrome (145787541).

The spelling of 101047440 in words is "one hundred one million, forty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 139 156 195 208 233 240 260 278 312 390 417 466 520 556 624 695 699 780 834 932 1040 1112 1165 1390 1398 1560 1668 1807 1864 2085 2224 2330 2780 2796 3029 3120 3336 3495 3614 3728 4170 4660 5421 5560 5592 6058 6672 6990 7228 8340 9035 9087 9320 10842 11120 11184 12116 13980 14456 15145 16680 18070 18174 18640 21684 24232 27105 27960 28912 30290 32387 33360 36140 36348 43368 45435 48464 54210 55920 60580 64774 72280 72696 86736 90870 97161 108420 121160 129548 144560 145392 161935 181740 194322 216840 242320 259096 323870 363480 388644 421031 433680 485805 518192 647740 726960 777288 842062 971610 1263093 1295480 1554576 1684124 1943220 2105155 2526186 2590960 3368248 3886440 4210310 5052372 6315465 6736496 7772880 8420620 10104744 12630930 16841240 20209488 25261860 33682480 50523720 101047440