Search a number
-
+
70431760 = 2457173727
BaseRepresentation
bin1000011001010…
…11010000010000
311220112022012201
410030223100100
5121012304020
610553332544
71513442260
oct414532020
9156468181
1070431760
1136836473
121b707154
13117901c9
1494d57a0
1562b3a0a
hex432b410

70431760 has 80 divisors (see below), whose sum is σ = 188487936. Its totient is φ = 23975424.

The previous prime is 70431743. The next prime is 70431761. The reversal of 70431760 is 6713407.

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 (28).

It is not an unprimeable number, because it can be changed into a prime (70431761) 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, 96517 + ... + 97243.

Almost surely, 270431760 is an apocalyptic number.

70431760 is a gapful number since it is divisible by the number (70) 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 70431760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94243968).

70431760 is an abundant number, since it is smaller than the sum of its proper divisors (118056176).

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

70431760 is a wasteful number, since it uses less digits than its factorization.

70431760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 70431760 is about 8392.3631951912. The cubic root of 70431760 is about 412.9741300604.

The spelling of 70431760 in words is "seventy million, four hundred thirty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 173 280 346 560 692 727 865 1211 1384 1454 1730 2422 2768 2908 3460 3635 4844 5089 5816 6055 6920 7270 9688 10178 11632 12110 13840 14540 19376 20356 24220 25445 29080 40712 48440 50890 58160 81424 96880 101780 125771 203560 251542 407120 503084 628855 880397 1006168 1257710 1760794 2012336 2515420 3521588 4401985 5030840 7043176 8803970 10061680 14086352 17607940 35215880 70431760