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40375380 = 223519107331
BaseRepresentation
bin1001101000000…
…1010001010100
32210222021121110
42122001101110
540314003010
64001215020
71000120323
oct232012124
983867543
1040375380
1120877691
1211631470
138498676
1455100ba
153828120
hex2681454

40375380 has 96 divisors (see below), whose sum is σ = 120476160. Its totient is φ = 10074240.

The previous prime is 40375367. The next prime is 40375393. The reversal of 40375380 is 8357304.

It is an interprime number because it is at equal distance from previous prime (40375367) and next prime (40375393).

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

It is a congruent number.

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, 121815 + ... + 122145.

It is an arithmetic number, because the mean of its divisors is an integer number (1254960).

Almost surely, 240375380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40375380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60238080).

40375380 is an abundant number, since it is smaller than the sum of its proper divisors (80100780).

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

40375380 is a wasteful number, since it uses less digits than its factorization.

40375380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 40375380 is about 6354.1624152991. The cubic root of 40375380 is about 343.0616780572.

It can be divided in two parts, 40375 and 380, that added together give a triangular number (40755 = T285).

The spelling of 40375380 in words is "forty million, three hundred seventy-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 107 114 190 214 228 285 321 331 380 428 535 570 642 662 993 1070 1140 1284 1324 1605 1655 1986 2033 2140 3210 3310 3972 4066 4965 6099 6289 6420 6620 8132 9930 10165 12198 12578 18867 19860 20330 24396 25156 30495 31445 35417 37734 40660 60990 62890 70834 75468 94335 106251 121980 125780 141668 177085 188670 212502 354170 377340 425004 531255 672923 708340 1062510 1345846 2018769 2125020 2691692 3364615 4037538 6729230 8075076 10093845 13458460 20187690 40375380