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1242399360 = 27351934057
BaseRepresentation
bin100101000001101…
…1000001010000000
310012120210102112010
41022003120022000
510021023234420
6323140532520
742534135366
oct11203301200
93176712463
101242399360
11588336034
122a80b1140
1316a51b167
14bb009636
15741134e0
hex4a0d8280

1242399360 has 128 divisors (see below), whose sum is σ = 4168699200. Its totient is φ = 313860096.

The previous prime is 1242399329. The next prime is 1242399371. The reversal of 1242399360 is 639932421.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 19452 + ... + 53508.

Almost surely, 21242399360 is an apocalyptic number.

1242399360 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 1242399360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084349600).

1242399360 is an abundant number, since it is smaller than the sum of its proper divisors (2926299840).

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

1242399360 is a wasteful number, since it uses less digits than its factorization.

1242399360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34098 (or 34086 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 1242399360 is about 35247.6858814873. The cubic root of 1242399360 is about 1075.0295603914.

The spelling of 1242399360 in words is "one billion, two hundred forty-two million, three hundred ninety-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 285 304 320 380 384 456 480 570 608 640 760 912 960 1140 1216 1520 1824 1920 2280 2432 3040 3648 4560 6080 7296 9120 12160 18240 34057 36480 68114 102171 136228 170285 204342 272456 340570 408684 510855 544912 647083 681140 817368 1021710 1089824 1294166 1362280 1634736 1941249 2043420 2179648 2588332 2724560 3235415 3269472 3882498 4086840 4359296 5176664 5449120 6470830 6538944 7764996 8173680 9706245 10353328 10898240 12941660 13077888 15529992 16347360 19412490 20706656 21796480 25883320 31059984 32694720 38824980 41413312 51766640 62119968 65389440 77649960 82826624 103533280 124239936 155299920 207066560 248479872 310599840 414133120 621199680 1242399360