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1201525040 = 245195091553
BaseRepresentation
bin100011110011101…
…1101000100110000
310002201212210111102
41013213131010300
54430042300130
6315120503532
741526536312
oct10747350460
93081783442
101201525040
11567258601
1229647aba8
13161c09681
14b58097b2
157073c645
hex479dd130

1201525040 has 80 divisors (see below), whose sum is σ = 2948248800. Its totient is φ = 454127616.

The previous prime is 1201525027. The next prime is 1201525069. The reversal of 1201525040 is 405251021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 772904 + ... + 774456.

It is an arithmetic number, because the mean of its divisors is an integer number (36853110).

Almost surely, 21201525040 is an apocalyptic number.

1201525040 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 1201525040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474124400).

1201525040 is an abundant number, since it is smaller than the sum of its proper divisors (1746723760).

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

1201525040 is a wasteful number, since it uses less digits than its factorization.

1201525040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 1201525040 is about 34663.0212185839. The cubic root of 1201525040 is about 1063.1085444014.

Adding to 1201525040 its reverse (405251021), we get a palindrome (1606776061).

The spelling of 1201525040 in words is "one billion, two hundred one million, five hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 509 760 1018 1520 1553 2036 2545 3106 4072 5090 6212 7765 8144 9671 10180 12424 15530 19342 20360 24848 29507 31060 38684 40720 48355 59014 62120 77368 96710 118028 124240 147535 154736 193420 236056 295070 386840 472112 590140 773680 790477 1180280 1580954 2360560 3161908 3952385 6323816 7904770 12647632 15019063 15809540 30038126 31619080 60076252 63238160 75095315 120152504 150190630 240305008 300381260 600762520 1201525040