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1129373680 = 245192925621
BaseRepresentation
bin100001101010000…
…1101111111110000
32220201010010102211
41003110031333300
54303104424210
6304022221504
736662342431
oct10324157760
92821103384
101129373680
1152a558186
12276284894
1314cc96866
14a9dc7488
156923938a
hex4350dff0

1129373680 has 80 divisors (see below), whose sum is σ = 2859415200. Its totient is φ = 413199360.

The previous prime is 1129373677. The next prime is 1129373683. The reversal of 1129373680 is 863739211.

It is an interprime number because it is at equal distance from previous prime (1129373677) and next prime (1129373683).

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 (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1129373683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31270 + ... + 56890.

It is an arithmetic number, because the mean of its divisors is an integer number (35742690).

Almost surely, 21129373680 is an apocalyptic number.

1129373680 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 1129373680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429707600).

1129373680 is an abundant number, since it is smaller than the sum of its proper divisors (1730041520).

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

1129373680 is a wasteful number, since it uses less digits than its factorization.

1129373680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25682 (or 25676 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 1129373680 is about 33606.1553885594. The cubic root of 1129373680 is about 1041.3879643791.

The spelling of 1129373680 in words is "one billion, one hundred twenty-nine million, three hundred seventy-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 29 38 40 58 76 80 95 116 145 152 190 232 290 304 380 464 551 580 760 1102 1160 1520 2204 2320 2755 4408 5510 8816 11020 22040 25621 44080 51242 102484 128105 204968 256210 409936 486799 512420 743009 973598 1024840 1486018 1947196 2049680 2433995 2972036 3715045 3894392 4867990 5944072 7430090 7788784 9735980 11888144 14117171 14860180 19471960 28234342 29720360 38943920 56468684 59440720 70585855 112937368 141171710 225874736 282343420 564686840 1129373680