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1000375040 = 2857311359
BaseRepresentation
bin111011101000001…
…000001100000000
32120201101022120102
4323220020030000
54022044000130
6243133301532
733535022210
oct7350101400
92521338512
101000375040
1147375a635
1223b0348a8
1312c33bac2
1496c08240
155cc57645
hex3ba08300

1000375040 has 144 divisors (see below), whose sum is σ = 2754984960. Its totient is φ = 340930560.

The previous prime is 1000375027. The next prime is 1000375043. The reversal of 1000375040 is 405730001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000375043) 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, 2786381 + ... + 2786739.

It is an arithmetic number, because the mean of its divisors is an integer number (19131840).

Almost surely, 21000375040 is an apocalyptic number.

1000375040 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 1000375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377492480).

1000375040 is an abundant number, since it is smaller than the sum of its proper divisors (1754609920).

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

1000375040 is an equidigital number, since it uses as much as digits as its factorization.

1000375040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 1000375040 is about 31628.7059488687. The cubic root of 1000375040 is about 1000.1249977083.

The spelling of 1000375040 in words is "one billion, three hundred seventy-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 311 320 359 448 560 622 640 718 896 1120 1244 1280 1436 1555 1792 1795 2177 2240 2488 2513 2872 3110 3590 4354 4480 4976 5026 5744 6220 7180 8708 8960 9952 10052 10885 11488 12440 12565 14360 17416 19904 20104 21770 22976 24880 25130 28720 34832 39808 40208 43540 45952 49760 50260 57440 69664 79616 80416 87080 91904 99520 100520 111649 114880 139328 160832 174160 199040 201040 223298 229760 278656 321664 348320 398080 402080 446596 459520 557312 558245 643328 696640 781543 804160 893192 1116490 1393280 1563086 1608320 1786384 2232980 2786560 3126172 3216640 3572768 3907715 4465960 6252344 7145536 7815430 8931920 12504688 14291072 15630860 17863840 25009376 28582144 31261720 35727680 50018752 62523440 71455360 100037504 125046880 142910720 200075008 250093760 500187520 1000375040