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1070414500 = 225331531303
BaseRepresentation
bin111111110011010…
…011101010100100
32202121011200122111
4333303103222210
54143011231000
6254114410404
735345241661
oct7763235244
92677150574
101070414500
114aa248291
1225a590a04
131409c257c
14a223aa68
1563e8ecba
hex3fcd3aa4

1070414500 has 96 divisors (see below), whose sum is σ = 2460616704. Its totient is φ = 406224000.

The previous prime is 1070414489. The next prime is 1070414557. The reversal of 1070414500 is 54140701.

It is a super-2 number, since 2×10704145002 = 2291574403620500000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 820849 + ... + 822151.

It is an arithmetic number, because the mean of its divisors is an integer number (25631424).

Almost surely, 21070414500 is an apocalyptic number.

1070414500 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 1070414500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230308352).

1070414500 is an abundant number, since it is smaller than the sum of its proper divisors (1390202204).

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

1070414500 is a wasteful number, since it uses less digits than its factorization.

1070414500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 1070414500 is about 32717.1896714861. The cubic root of 1070414500 is about 1022.9411777349.

The spelling of 1070414500 in words is "one billion, seventy million, four hundred fourteen thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 31 50 53 62 100 106 124 125 155 212 250 265 310 500 530 620 775 1060 1303 1325 1550 1643 2606 2650 3100 3286 3875 5212 5300 6515 6572 6625 7750 8215 13030 13250 15500 16430 26060 26500 32575 32860 40393 41075 65150 69059 80786 82150 130300 138118 161572 162875 164300 201965 205375 276236 325750 345295 403930 410750 651500 690590 807860 821500 1009825 1381180 1726475 2019650 2140829 3452950 4039300 4281658 5049125 6905900 8563316 8632375 10098250 10704145 17264750 20196500 21408290 34529500 42816580 53520725 107041450 214082900 267603625 535207250 1070414500