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1970953640 = 235411279463
BaseRepresentation
bin111010101111010…
…0101110110101000
312002100200211002222
41311132211312220
513014031004030
6523324213212
766561554345
oct16536456650
95070624088
101970953640
11921608707
1247009a208
13255447476
14149a977cc
15b80763e5
hex757a5da8

1970953640 has 64 divisors (see below), whose sum is σ = 4579061760. Its totient is φ = 763015680.

The previous prime is 1970953631. The next prime is 1970953643. The reversal of 1970953640 is 463590791.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1970953591 and 1970953600.

It is not an unprimeable number, because it can be changed into a prime (1970953643) 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, 203549 + ... + 213011.

It is an arithmetic number, because the mean of its divisors is an integer number (71547840).

Almost surely, 21970953640 is an apocalyptic number.

1970953640 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 1970953640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2289530880).

1970953640 is an abundant number, since it is smaller than the sum of its proper divisors (2608108120).

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

1970953640 is a wasteful number, since it uses less digits than its factorization.

1970953640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9642 (or 9638 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 44.

The square root of 1970953640 is about 44395.4236380283. The cubic root of 1970953640 is about 1253.7919285905.

The spelling of 1970953640 in words is "one billion, nine hundred seventy million, nine hundred fifty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 127 164 205 254 328 410 508 635 820 1016 1270 1640 2540 5080 5207 9463 10414 18926 20828 26035 37852 41656 47315 52070 75704 94630 104140 189260 208280 378520 387983 775966 1201801 1551932 1939915 2403602 3103864 3879830 4807204 6009005 7759660 9614408 12018010 15519320 24036020 48072040 49273841 98547682 197095364 246369205 394190728 492738410 985476820 1970953640