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1390213920 = 253513122109
BaseRepresentation
bin101001011011100…
…1111101100100000
310120212221011222110
41102313033230200
510321343321140
6345541035320
746310423544
oct12267175440
93525834873
101390213920
11653815327
123296b5b40
131920333b4
14d28c5a24
15820b0380
hex52dcfb20

1390213920 has 96 divisors (see below), whose sum is σ = 4412802240. Its totient is φ = 367877120.

The previous prime is 1390213897. The next prime is 1390213949. The reversal of 1390213920 is 293120931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 51826 + ... + 73934.

It is an arithmetic number, because the mean of its divisors is an integer number (45966690).

Almost surely, 21390213920 is an apocalyptic number.

1390213920 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 1390213920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2206401120).

1390213920 is an abundant number, since it is smaller than the sum of its proper divisors (3022588320).

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

1390213920 is a wasteful number, since it uses less digits than its factorization.

1390213920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22258 (or 22250 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 1390213920 is about 37285.5725448866. The cubic root of 1390213920 is about 1116.0762784928.

The spelling of 1390213920 in words is "one billion, three hundred ninety million, two hundred thirteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 131 160 240 262 393 480 524 655 786 1048 1310 1572 1965 2096 2620 3144 3930 4192 5240 6288 7860 10480 12576 15720 20960 22109 31440 44218 62880 66327 88436 110545 132654 176872 221090 265308 331635 353744 442180 530616 663270 707488 884360 1061232 1326540 1768720 2122464 2653080 2896279 3537440 5306160 5792558 8688837 10612320 11585116 14481395 17377674 23170232 28962790 34755348 43444185 46340464 57925580 69510696 86888370 92680928 115851160 139021392 173776740 231702320 278042784 347553480 463404640 695106960 1390213920