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1220072070 = 235726011381
BaseRepresentation
bin100100010111000…
…1101001010000110
310011000210002020110
41020232031022012
54444314301240
6321022213450
742143304300
oct11056151206
93130702213
101220072070
11576776228
122a0724286
13165a01649
14b8076970
15721a2c80
hex48b8d286

1220072070 has 96 divisors (see below), whose sum is σ = 3414380256. Its totient is φ = 278208000.

The previous prime is 1220072057. The next prime is 1220072071. The reversal of 1220072070 is 702700221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220072071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 882780 + ... + 884160.

It is an arithmetic number, because the mean of its divisors is an integer number (35566461).

Almost surely, 21220072070 is an apocalyptic number.

1220072070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220072070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707190128).

1220072070 is an abundant number, since it is smaller than the sum of its proper divisors (2194308186).

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

1220072070 is a wasteful number, since it uses less digits than its factorization.

1220072070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 1220072070 is about 34929.5300569590. The cubic root of 1220072070 is about 1068.5507704279.

Adding to 1220072070 its reverse (702700221), we get a palindrome (1922772291).

The spelling of 1220072070 in words is "one billion, two hundred twenty million, seventy-two thousand, seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 601 735 1202 1381 1470 1803 2762 3005 3606 4143 4207 6010 6905 8286 8414 9015 9667 12621 13810 18030 19334 20715 21035 25242 29001 29449 41430 42070 48335 58002 58898 63105 67669 88347 96670 126210 135338 145005 147245 176694 203007 290010 294490 338345 406014 441735 676690 829981 883470 1015035 1659962 2030070 2489943 4149905 4979886 5809867 8299810 11619734 12449715 17429601 24899430 29049335 34859202 40669069 58098670 81338138 87148005 122007207 174296010 203345345 244014414 406690690 610036035 1220072070